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Re: long double test failures due to underflow exception getting set?
- From: Steve Ellcey <sellcey at cavium dot com>
- To: Wilco Dijkstra <Wilco dot Dijkstra at arm dot com>, "Ellcey, Steve" <Steve dot Ellcey at cavium dot com>, Carlos O'Donell <carlos at redhat dot com>
- Cc: "libc-alpha at sourceware dot org" <libc-alpha at sourceware dot org>, nd <nd at arm dot com>
- Date: Thu, 20 Jul 2017 10:39:40 -0700
- Subject: Re: long double test failures due to underflow exception getting set?
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- Reply-to: sellcey at cavium dot com
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On Thu, 2017-07-20 at 17:32 +0000, Wilco Dijkstra wrote:
> Carlos wrote:
> >
> > Neither DJ nor Szabolcs's glibc 2.26 builds showed those failures:
> Actually Szabolcs mentioned trunk GCC has some issues with long double.
> I don't know the details but I imagine GCC lifts some FP operations across
> fegetenv/fesetenv calls (or similar) which may be a bug depending on the
> optimization setting (I guess you need -ftrapping-math to block such
> lifting).
>
> Wilco
Yes, this does appear to be a GCC bug. I have created a test case that
I can submit to GCC where the code does the right thing at -O0 and the
wrong thing with -O2. I tried using -ftrapping-math but that didn't
help. I will submit a GCC bug shortly, here is the test case if you
are interested, it is based on e_expl.c but can be compiled as a
standalone program.
Steve Ellcey
sellcey@cavium.com
extern void __chk_fail (void) __attribute__ ((__noreturn__));
typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;
typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;
typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;
typedef long int __quad_t;
typedef unsigned long int __u_quad_t;
typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef int __daddr_t;
typedef int __key_t;
typedef int __clockid_t;
typedef void * __timer_t;
typedef int __blksize_t;
typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;
typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;
typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;
typedef long int __fsword_t;
typedef long int __ssize_t;
typedef long int __syscall_slong_t;
typedef unsigned long int __syscall_ulong_t;
typedef __off64_t __loff_t;
typedef __quad_t *__qaddr_t;
typedef char *__caddr_t;
typedef long int __intptr_t;
typedef unsigned int __socklen_t;
typedef int __sig_atomic_t;
static __inline unsigned int
__bswap_32 (unsigned int __bsx)
{
return __builtin_bswap32 (__bsx);
}
static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{
return __builtin_bswap64 (__bsx);
}
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
return __x;
}
static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
return __x;
}
static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
return __x;
}
union ieee754_float
{
float f;
struct
{
unsigned int mantissa:23;
unsigned int exponent:8;
unsigned int negative:1;
} ieee;
struct
{
unsigned int mantissa:22;
unsigned int quiet_nan:1;
unsigned int exponent:8;
unsigned int negative:1;
} ieee_nan;
};
union ieee754_double
{
double d;
struct
{
unsigned int mantissa1:32;
unsigned int mantissa0:20;
unsigned int exponent:11;
unsigned int negative:1;
} ieee;
struct
{
unsigned int mantissa1:32;
unsigned int mantissa0:19;
unsigned int quiet_nan:1;
unsigned int exponent:11;
unsigned int negative:1;
} ieee_nan;
};
union ieee854_long_double
{
long double d;
struct
{
unsigned int mantissa3:32;
unsigned int mantissa2:32;
unsigned int mantissa1:32;
unsigned int mantissa0:16;
unsigned int exponent:15;
unsigned int negative:1;
} ieee;
struct
{
unsigned int mantissa3:32;
unsigned int mantissa2:32;
unsigned int mantissa1:32;
unsigned int mantissa0:15;
unsigned int quiet_nan:1;
unsigned int exponent:15;
unsigned int negative:1;
} ieee_nan;
};
typedef float float_t;
typedef double double_t;
enum
{
FP_INT_UPWARD =
0,
FP_INT_DOWNWARD =
1,
FP_INT_TOWARDZERO =
2,
FP_INT_TONEARESTFROMZERO =
3,
FP_INT_TONEAREST =
4,
};
extern int __fpclassify (double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __signbit (double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __isinf (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __finite (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __isnan (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __iseqsig (double __x, double __y) __attribute__ ((__nothrow__ ));
extern int __issignaling (double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern double acos (double __x) __attribute__ ((__nothrow__ )); extern double __acos (double __x) __attribute__ ((__nothrow__ ));
extern double asin (double __x) __attribute__ ((__nothrow__ )); extern double __asin (double __x) __attribute__ ((__nothrow__ ));
extern double atan (double __x) __attribute__ ((__nothrow__ )); extern double __atan (double __x) __attribute__ ((__nothrow__ ));
extern double atan2 (double __y, double __x) __attribute__ ((__nothrow__ )); extern double __atan2 (double __y, double __x) __attribute__ ((__nothrow__ ));
extern double cos (double __x) __attribute__ ((__nothrow__ )); extern double __cos (double __x) __attribute__ ((__nothrow__ ));
extern double sin (double __x) __attribute__ ((__nothrow__ )); extern double __sin (double __x) __attribute__ ((__nothrow__ ));
extern double tan (double __x) __attribute__ ((__nothrow__ )); extern double __tan (double __x) __attribute__ ((__nothrow__ ));
extern double cosh (double __x) __attribute__ ((__nothrow__ )); extern double __cosh (double __x) __attribute__ ((__nothrow__ ));
extern double sinh (double __x) __attribute__ ((__nothrow__ )); extern double __sinh (double __x) __attribute__ ((__nothrow__ ));
extern double tanh (double __x) __attribute__ ((__nothrow__ )); extern double __tanh (double __x) __attribute__ ((__nothrow__ ));
extern void sincos (double __x, double *__sinx, double *__cosx) __attribute__ ((__nothrow__ )); extern void __sincos (double __x, double *__sinx, double *__cosx) __attribute__ ((__nothrow__ ))
;
extern double acosh (double __x) __attribute__ ((__nothrow__ )); extern double __acosh (double __x) __attribute__ ((__nothrow__ ));
extern double asinh (double __x) __attribute__ ((__nothrow__ )); extern double __asinh (double __x) __attribute__ ((__nothrow__ ));
extern double atanh (double __x) __attribute__ ((__nothrow__ )); extern double __atanh (double __x) __attribute__ ((__nothrow__ ));
extern double exp (double __x) __attribute__ ((__nothrow__ )); extern double __exp (double __x) __attribute__ ((__nothrow__ ));
extern double frexp (double __x, int *__exponent) __attribute__ ((__nothrow__ )); extern double __frexp (double __x, int *__exponent) __attribute__ ((__nothrow__ ));
extern double ldexp (double __x, int __exponent) __attribute__ ((__nothrow__ )); extern double __ldexp (double __x, int __exponent) __attribute__ ((__nothrow__ ));
extern double log (double __x) __attribute__ ((__nothrow__ )); extern double __log (double __x) __attribute__ ((__nothrow__ ));
extern double log10 (double __x) __attribute__ ((__nothrow__ )); extern double __log10 (double __x) __attribute__ ((__nothrow__ ));
extern double modf (double __x, double *__iptr) __attribute__ ((__nothrow__ )); extern double __modf (double __x, double *__iptr) __attribute__ ((__nothrow__ )) ;
extern double exp10 (double __x) __attribute__ ((__nothrow__ )); extern double __exp10 (double __x) __attribute__ ((__nothrow__ ));
extern double pow10 (double __x) __attribute__ ((__nothrow__ )); extern double __pow10 (double __x) __attribute__ ((__nothrow__ ));
extern double expm1 (double __x) __attribute__ ((__nothrow__ )); extern double __expm1 (double __x) __attribute__ ((__nothrow__ ));
extern double log1p (double __x) __attribute__ ((__nothrow__ )); extern double __log1p (double __x) __attribute__ ((__nothrow__ ));
extern double logb (double __x) __attribute__ ((__nothrow__ )); extern double __logb (double __x) __attribute__ ((__nothrow__ ));
extern double exp2 (double __x) __attribute__ ((__nothrow__ )); extern double __exp2 (double __x) __attribute__ ((__nothrow__ ));
extern double log2 (double __x) __attribute__ ((__nothrow__ )); extern double __log2 (double __x) __attribute__ ((__nothrow__ ));
extern double pow (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __pow (double __x, double __y) __attribute__ ((__nothrow__ ));
extern double sqrt (double __x) __attribute__ ((__nothrow__ )); extern double __sqrt (double __x) __attribute__ ((__nothrow__ ));
extern double hypot (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __hypot (double __x, double __y) __attribute__ ((__nothrow__ ));
extern double cbrt (double __x) __attribute__ ((__nothrow__ )); extern double __cbrt (double __x) __attribute__ ((__nothrow__ ));
extern double ceil (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __ceil (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double fabs (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __fabs (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double floor (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __floor (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double fmod (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __fmod (double __x, double __y) __attribute__ ((__nothrow__ ));
extern int isinf (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int finite (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double drem (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __drem (double __x, double __y) __attribute__ ((__nothrow__ ));
extern double significand (double __x) __attribute__ ((__nothrow__ )); extern double __significand (double __x) __attribute__ ((__nothrow__ ));
extern double copysign (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __copysign (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double nan (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __nan (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int isnan (double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double j0 (double) __attribute__ ((__nothrow__ )); extern double __j0 (double) __attribute__ ((__nothrow__ ));
extern double j1 (double) __attribute__ ((__nothrow__ )); extern double __j1 (double) __attribute__ ((__nothrow__ ));
extern double jn (int, double) __attribute__ ((__nothrow__ )); extern double __jn (int, double) __attribute__ ((__nothrow__ ));
extern double y0 (double) __attribute__ ((__nothrow__ )); extern double __y0 (double) __attribute__ ((__nothrow__ ));
extern double y1 (double) __attribute__ ((__nothrow__ )); extern double __y1 (double) __attribute__ ((__nothrow__ ));
extern double yn (int, double) __attribute__ ((__nothrow__ )); extern double __yn (int, double) __attribute__ ((__nothrow__ ));
extern double erf (double) __attribute__ ((__nothrow__ )); extern double __erf (double) __attribute__ ((__nothrow__ ));
extern double erfc (double) __attribute__ ((__nothrow__ )); extern double __erfc (double) __attribute__ ((__nothrow__ ));
extern double lgamma (double) __attribute__ ((__nothrow__ )); extern double __lgamma (double) __attribute__ ((__nothrow__ ));
extern double tgamma (double) __attribute__ ((__nothrow__ )); extern double __tgamma (double) __attribute__ ((__nothrow__ ));
extern double gamma (double) __attribute__ ((__nothrow__ )); extern double __gamma (double) __attribute__ ((__nothrow__ ));
extern double lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__ )); extern double __lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__ ));
extern double rint (double __x) __attribute__ ((__nothrow__ )); extern double __rint (double __x) __attribute__ ((__nothrow__ ));
extern double nextafter (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __nextafter (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double nexttoward (double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __nexttoward (double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double nextdown (double __x) __attribute__ ((__nothrow__ )); extern double __nextdown (double __x) __attribute__ ((__nothrow__ ));
extern double nextup (double __x) __attribute__ ((__nothrow__ )); extern double __nextup (double __x) __attribute__ ((__nothrow__ ));
extern double remainder (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __remainder (double __x, double __y) __attribute__ ((__nothrow__ ));
extern double scalbn (double __x, int __n) __attribute__ ((__nothrow__ )); extern double __scalbn (double __x, int __n) __attribute__ ((__nothrow__ ));
extern int ilogb (double __x) __attribute__ ((__nothrow__ )); extern int __ilogb (double __x) __attribute__ ((__nothrow__ ));
extern long int llogb (double __x) __attribute__ ((__nothrow__ )); extern long int __llogb (double __x) __attribute__ ((__nothrow__ ));
extern double scalbln (double __x, long int __n) __attribute__ ((__nothrow__ )); extern double __scalbln (double __x, long int __n) __attribute__ ((__nothrow__ ));
extern double nearbyint (double __x) __attribute__ ((__nothrow__ )); extern double __nearbyint (double __x) __attribute__ ((__nothrow__ ));
extern double round (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __round (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double trunc (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __trunc (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__ )); extern double __remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__ ));
extern long int lrint (double __x) __attribute__ ((__nothrow__ )); extern long int __lrint (double __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llrint (double __x) __attribute__ ((__nothrow__ )); extern long long int __llrint (double __x) __attribute__ ((__nothrow__ ));
extern long int lround (double __x) __attribute__ ((__nothrow__ )); extern long int __lround (double __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llround (double __x) __attribute__ ((__nothrow__ )); extern long long int __llround (double __x) __attribute__ ((__nothrow__ ));
extern double fdim (double __x, double __y) __attribute__ ((__nothrow__ )); extern double __fdim (double __x, double __y) __attribute__ ((__nothrow__ ));
extern double fmax (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __fmax (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double fmin (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __fmin (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double fma (double __x, double __y, double __z) __attribute__ ((__nothrow__ )); extern double __fma (double __x, double __y, double __z) __attribute__ ((__nothrow__ ));
extern double roundeven (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __roundeven (double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern __intmax_t fromfp (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfp (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfp (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfp (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __intmax_t fromfpx (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfpx (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfpx (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfpx (double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern double fmaxmag (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __fmaxmag (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern double fminmag (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern double __fminmag (double __x, double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int totalorder (double __x, double __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int totalordermag (double __x, double __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int canonicalize (double *__cx, const double *__x) __attribute__ ((__nothrow__ ));
extern double getpayload (const double *__x) __attribute__ ((__nothrow__ )); extern double __getpayload (const double *__x) __attribute__ ((__nothrow__ ));
extern int setpayload (double *__x, double __payload) __attribute__ ((__nothrow__ ));
extern int setpayloadsig (double *__x, double __payload) __attribute__ ((__nothrow__ ));
extern double scalb (double __x, double __n) __attribute__ ((__nothrow__ )); extern double __scalb (double __x, double __n) __attribute__ ((__nothrow__ ));
extern int __fpclassifyf (float __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __signbitf (float __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __isinff (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __finitef (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __isnanf (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __iseqsigf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern int __issignalingf (float __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern float acosf (float __x) __attribute__ ((__nothrow__ )); extern float __acosf (float __x) __attribute__ ((__nothrow__ ));
extern float asinf (float __x) __attribute__ ((__nothrow__ )); extern float __asinf (float __x) __attribute__ ((__nothrow__ ));
extern float atanf (float __x) __attribute__ ((__nothrow__ )); extern float __atanf (float __x) __attribute__ ((__nothrow__ ));
extern float atan2f (float __y, float __x) __attribute__ ((__nothrow__ )); extern float __atan2f (float __y, float __x) __attribute__ ((__nothrow__ ));
extern float cosf (float __x) __attribute__ ((__nothrow__ )); extern float __cosf (float __x) __attribute__ ((__nothrow__ ));
extern float sinf (float __x) __attribute__ ((__nothrow__ )); extern float __sinf (float __x) __attribute__ ((__nothrow__ ));
extern float tanf (float __x) __attribute__ ((__nothrow__ )); extern float __tanf (float __x) __attribute__ ((__nothrow__ ));
extern float coshf (float __x) __attribute__ ((__nothrow__ )); extern float __coshf (float __x) __attribute__ ((__nothrow__ ));
extern float sinhf (float __x) __attribute__ ((__nothrow__ )); extern float __sinhf (float __x) __attribute__ ((__nothrow__ ));
extern float tanhf (float __x) __attribute__ ((__nothrow__ )); extern float __tanhf (float __x) __attribute__ ((__nothrow__ ));
extern void sincosf (float __x, float *__sinx, float *__cosx) __attribute__ ((__nothrow__ )); extern void __sincosf (float __x, float *__sinx, float *__cosx) __attribute__ ((__nothrow__ ))
;
extern float acoshf (float __x) __attribute__ ((__nothrow__ )); extern float __acoshf (float __x) __attribute__ ((__nothrow__ ));
extern float asinhf (float __x) __attribute__ ((__nothrow__ )); extern float __asinhf (float __x) __attribute__ ((__nothrow__ ));
extern float atanhf (float __x) __attribute__ ((__nothrow__ )); extern float __atanhf (float __x) __attribute__ ((__nothrow__ ));
extern float expf (float __x) __attribute__ ((__nothrow__ )); extern float __expf (float __x) __attribute__ ((__nothrow__ ));
extern float frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__ )); extern float __frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__ ));
extern float ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__ )); extern float __ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__ ));
extern float logf (float __x) __attribute__ ((__nothrow__ )); extern float __logf (float __x) __attribute__ ((__nothrow__ ));
extern float log10f (float __x) __attribute__ ((__nothrow__ )); extern float __log10f (float __x) __attribute__ ((__nothrow__ ));
extern float modff (float __x, float *__iptr) __attribute__ ((__nothrow__ )); extern float __modff (float __x, float *__iptr) __attribute__ ((__nothrow__ )) ;
extern float exp10f (float __x) __attribute__ ((__nothrow__ )); extern float __exp10f (float __x) __attribute__ ((__nothrow__ ));
extern float pow10f (float __x) __attribute__ ((__nothrow__ )); extern float __pow10f (float __x) __attribute__ ((__nothrow__ ));
extern float expm1f (float __x) __attribute__ ((__nothrow__ )); extern float __expm1f (float __x) __attribute__ ((__nothrow__ ));
extern float log1pf (float __x) __attribute__ ((__nothrow__ )); extern float __log1pf (float __x) __attribute__ ((__nothrow__ ));
extern float logbf (float __x) __attribute__ ((__nothrow__ )); extern float __logbf (float __x) __attribute__ ((__nothrow__ ));
extern float exp2f (float __x) __attribute__ ((__nothrow__ )); extern float __exp2f (float __x) __attribute__ ((__nothrow__ ));
extern float log2f (float __x) __attribute__ ((__nothrow__ )); extern float __log2f (float __x) __attribute__ ((__nothrow__ ));
extern float powf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __powf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern float sqrtf (float __x) __attribute__ ((__nothrow__ )); extern float __sqrtf (float __x) __attribute__ ((__nothrow__ ));
extern float hypotf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __hypotf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern float cbrtf (float __x) __attribute__ ((__nothrow__ )); extern float __cbrtf (float __x) __attribute__ ((__nothrow__ ));
extern float ceilf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __ceilf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float fabsf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __fabsf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float floorf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __floorf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float fmodf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __fmodf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern int isinff (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int finitef (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float dremf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __dremf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern float significandf (float __x) __attribute__ ((__nothrow__ )); extern float __significandf (float __x) __attribute__ ((__nothrow__ ));
extern float copysignf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float nanf (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __nanf (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int isnanf (float __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float j0f (float) __attribute__ ((__nothrow__ )); extern float __j0f (float) __attribute__ ((__nothrow__ ));
extern float j1f (float) __attribute__ ((__nothrow__ )); extern float __j1f (float) __attribute__ ((__nothrow__ ));
extern float jnf (int, float) __attribute__ ((__nothrow__ )); extern float __jnf (int, float) __attribute__ ((__nothrow__ ));
extern float y0f (float) __attribute__ ((__nothrow__ )); extern float __y0f (float) __attribute__ ((__nothrow__ ));
extern float y1f (float) __attribute__ ((__nothrow__ )); extern float __y1f (float) __attribute__ ((__nothrow__ ));
extern float ynf (int, float) __attribute__ ((__nothrow__ )); extern float __ynf (int, float) __attribute__ ((__nothrow__ ));
extern float erff (float) __attribute__ ((__nothrow__ )); extern float __erff (float) __attribute__ ((__nothrow__ ));
extern float erfcf (float) __attribute__ ((__nothrow__ )); extern float __erfcf (float) __attribute__ ((__nothrow__ ));
extern float lgammaf (float) __attribute__ ((__nothrow__ )); extern float __lgammaf (float) __attribute__ ((__nothrow__ ));
extern float tgammaf (float) __attribute__ ((__nothrow__ )); extern float __tgammaf (float) __attribute__ ((__nothrow__ ));
extern float gammaf (float) __attribute__ ((__nothrow__ )); extern float __gammaf (float) __attribute__ ((__nothrow__ ));
extern float lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__ )); extern float __lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__ ));
extern float rintf (float __x) __attribute__ ((__nothrow__ )); extern float __rintf (float __x) __attribute__ ((__nothrow__ ));
extern float nextafterf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __nextafterf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float nextdownf (float __x) __attribute__ ((__nothrow__ )); extern float __nextdownf (float __x) __attribute__ ((__nothrow__ ));
extern float nextupf (float __x) __attribute__ ((__nothrow__ )); extern float __nextupf (float __x) __attribute__ ((__nothrow__ ));
extern float remainderf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __remainderf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern float scalbnf (float __x, int __n) __attribute__ ((__nothrow__ )); extern float __scalbnf (float __x, int __n) __attribute__ ((__nothrow__ ));
extern int ilogbf (float __x) __attribute__ ((__nothrow__ )); extern int __ilogbf (float __x) __attribute__ ((__nothrow__ ));
extern long int llogbf (float __x) __attribute__ ((__nothrow__ )); extern long int __llogbf (float __x) __attribute__ ((__nothrow__ ));
extern float scalblnf (float __x, long int __n) __attribute__ ((__nothrow__ )); extern float __scalblnf (float __x, long int __n) __attribute__ ((__nothrow__ ));
extern float nearbyintf (float __x) __attribute__ ((__nothrow__ )); extern float __nearbyintf (float __x) __attribute__ ((__nothrow__ ));
extern float roundf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __roundf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float truncf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __truncf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__ )); extern float __remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__ ));
extern long int lrintf (float __x) __attribute__ ((__nothrow__ )); extern long int __lrintf (float __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llrintf (float __x) __attribute__ ((__nothrow__ )); extern long long int __llrintf (float __x) __attribute__ ((__nothrow__ ));
extern long int lroundf (float __x) __attribute__ ((__nothrow__ )); extern long int __lroundf (float __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llroundf (float __x) __attribute__ ((__nothrow__ )); extern long long int __llroundf (float __x) __attribute__ ((__nothrow__ ));
extern float fdimf (float __x, float __y) __attribute__ ((__nothrow__ )); extern float __fdimf (float __x, float __y) __attribute__ ((__nothrow__ ));
extern float fmaxf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __fmaxf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float fminf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __fminf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__ )); extern float __fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__ ));
extern float roundevenf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __roundevenf (float __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern __intmax_t fromfpf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfpf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfpf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfpf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __intmax_t fromfpxf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfpxf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfpxf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfpxf (float __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern float fmaxmagf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __fmaxmagf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern float fminmagf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern float __fminmagf (float __x, float __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int totalorderf (float __x, float __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int totalordermagf (float __x, float __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int canonicalizef (float *__cx, const float *__x) __attribute__ ((__nothrow__ ));
extern float getpayloadf (const float *__x) __attribute__ ((__nothrow__ )); extern float __getpayloadf (const float *__x) __attribute__ ((__nothrow__ ));
extern int setpayloadf (float *__x, float __payload) __attribute__ ((__nothrow__ ));
extern int setpayloadsigf (float *__x, float __payload) __attribute__ ((__nothrow__ ));
extern float scalbf (float __x, float __n) __attribute__ ((__nothrow__ )); extern float __scalbf (float __x, float __n) __attribute__ ((__nothrow__ ));
extern int __fpclassifyl (long double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __signbitl (long double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int __isinfl (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __finitel (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __isnanl (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int __iseqsigl (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern int __issignalingl (long double __value) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern long double acosl (long double __x) __attribute__ ((__nothrow__ )); extern long double __acosl (long double __x) __attribute__ ((__nothrow__ ));
extern long double asinl (long double __x) __attribute__ ((__nothrow__ )); extern long double __asinl (long double __x) __attribute__ ((__nothrow__ ));
extern long double atanl (long double __x) __attribute__ ((__nothrow__ )); extern long double __atanl (long double __x) __attribute__ ((__nothrow__ ));
extern long double atan2l (long double __y, long double __x) __attribute__ ((__nothrow__ )); extern long double __atan2l (long double __y, long double __x) __attribute__ ((__nothrow__ ));
extern long double cosl (long double __x) __attribute__ ((__nothrow__ )); extern long double __cosl (long double __x) __attribute__ ((__nothrow__ ));
extern long double sinl (long double __x) __attribute__ ((__nothrow__ )); extern long double __sinl (long double __x) __attribute__ ((__nothrow__ ));
extern long double tanl (long double __x) __attribute__ ((__nothrow__ )); extern long double __tanl (long double __x) __attribute__ ((__nothrow__ ));
extern long double coshl (long double __x) __attribute__ ((__nothrow__ )); extern long double __coshl (long double __x) __attribute__ ((__nothrow__ ));
extern long double sinhl (long double __x) __attribute__ ((__nothrow__ )); extern long double __sinhl (long double __x) __attribute__ ((__nothrow__ ));
extern long double tanhl (long double __x) __attribute__ ((__nothrow__ )); extern long double __tanhl (long double __x) __attribute__ ((__nothrow__ ));
extern void sincosl (long double __x, long double *__sinx, long double *__cosx) __attribute__ ((__nothrow__ )); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) __attribute__ ((__nothrow__ ))
;
extern long double acoshl (long double __x) __attribute__ ((__nothrow__ )); extern long double __acoshl (long double __x) __attribute__ ((__nothrow__ ));
extern long double asinhl (long double __x) __attribute__ ((__nothrow__ )); extern long double __asinhl (long double __x) __attribute__ ((__nothrow__ ));
extern long double atanhl (long double __x) __attribute__ ((__nothrow__ )); extern long double __atanhl (long double __x) __attribute__ ((__nothrow__ ));
extern long double expl (long double __x) __attribute__ ((__nothrow__ )); extern long double __expl (long double __x) __attribute__ ((__nothrow__ ));
extern long double frexpl (long double __x, int *__exponent) __attribute__ ((__nothrow__ )); extern long double __frexpl (long double __x, int *__exponent) __attribute__ ((__nothrow__ ));
extern long double ldexpl (long double __x, int __exponent) __attribute__ ((__nothrow__ )); extern long double __ldexpl (long double __x, int __exponent) __attribute__ ((__nothrow__ ));
extern long double logl (long double __x) __attribute__ ((__nothrow__ )); extern long double __logl (long double __x) __attribute__ ((__nothrow__ ));
extern long double log10l (long double __x) __attribute__ ((__nothrow__ )); extern long double __log10l (long double __x) __attribute__ ((__nothrow__ ));
extern long double modfl (long double __x, long double *__iptr) __attribute__ ((__nothrow__ )); extern long double __modfl (long double __x, long double *__iptr) __attribute__ ((__nothrow__ )) ;
extern long double exp10l (long double __x) __attribute__ ((__nothrow__ )); extern long double __exp10l (long double __x) __attribute__ ((__nothrow__ ));
extern long double pow10l (long double __x) __attribute__ ((__nothrow__ )); extern long double __pow10l (long double __x) __attribute__ ((__nothrow__ ));
extern long double expm1l (long double __x) __attribute__ ((__nothrow__ )); extern long double __expm1l (long double __x) __attribute__ ((__nothrow__ ));
extern long double log1pl (long double __x) __attribute__ ((__nothrow__ )); extern long double __log1pl (long double __x) __attribute__ ((__nothrow__ ));
extern long double logbl (long double __x) __attribute__ ((__nothrow__ )); extern long double __logbl (long double __x) __attribute__ ((__nothrow__ ));
extern long double exp2l (long double __x) __attribute__ ((__nothrow__ )); extern long double __exp2l (long double __x) __attribute__ ((__nothrow__ ));
extern long double log2l (long double __x) __attribute__ ((__nothrow__ )); extern long double __log2l (long double __x) __attribute__ ((__nothrow__ ));
extern long double powl (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __powl (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern long double sqrtl (long double __x) __attribute__ ((__nothrow__ )); extern long double __sqrtl (long double __x) __attribute__ ((__nothrow__ ));
extern long double hypotl (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __hypotl (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern long double cbrtl (long double __x) __attribute__ ((__nothrow__ )); extern long double __cbrtl (long double __x) __attribute__ ((__nothrow__ ));
extern long double ceill (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __ceill (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double fabsl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __fabsl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double floorl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __floorl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double fmodl (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __fmodl (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern int isinfl (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int finitel (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double dreml (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __dreml (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern long double significandl (long double __x) __attribute__ ((__nothrow__ )); extern long double __significandl (long double __x) __attribute__ ((__nothrow__ ));
extern long double copysignl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __copysignl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double nanl (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __nanl (const char *__tagb) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int isnanl (long double __value) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double j0l (long double) __attribute__ ((__nothrow__ )); extern long double __j0l (long double) __attribute__ ((__nothrow__ ));
extern long double j1l (long double) __attribute__ ((__nothrow__ )); extern long double __j1l (long double) __attribute__ ((__nothrow__ ));
extern long double jnl (int, long double) __attribute__ ((__nothrow__ )); extern long double __jnl (int, long double) __attribute__ ((__nothrow__ ));
extern long double y0l (long double) __attribute__ ((__nothrow__ )); extern long double __y0l (long double) __attribute__ ((__nothrow__ ));
extern long double y1l (long double) __attribute__ ((__nothrow__ )); extern long double __y1l (long double) __attribute__ ((__nothrow__ ));
extern long double ynl (int, long double) __attribute__ ((__nothrow__ )); extern long double __ynl (int, long double) __attribute__ ((__nothrow__ ));
extern long double erfl (long double) __attribute__ ((__nothrow__ )); extern long double __erfl (long double) __attribute__ ((__nothrow__ ));
extern long double erfcl (long double) __attribute__ ((__nothrow__ )); extern long double __erfcl (long double) __attribute__ ((__nothrow__ ));
extern long double lgammal (long double) __attribute__ ((__nothrow__ )); extern long double __lgammal (long double) __attribute__ ((__nothrow__ ));
extern long double tgammal (long double) __attribute__ ((__nothrow__ )); extern long double __tgammal (long double) __attribute__ ((__nothrow__ ));
extern long double gammal (long double) __attribute__ ((__nothrow__ )); extern long double __gammal (long double) __attribute__ ((__nothrow__ ));
extern long double lgammal_r (long double, int *__signgamp) __attribute__ ((__nothrow__ )); extern long double __lgammal_r (long double, int *__signgamp) __attribute__ ((__nothrow__ ));
extern long double rintl (long double __x) __attribute__ ((__nothrow__ )); extern long double __rintl (long double __x) __attribute__ ((__nothrow__ ));
extern long double nextafterl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __nextafterl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double nexttowardl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __nexttowardl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double nextdownl (long double __x) __attribute__ ((__nothrow__ )); extern long double __nextdownl (long double __x) __attribute__ ((__nothrow__ ));
extern long double nextupl (long double __x) __attribute__ ((__nothrow__ )); extern long double __nextupl (long double __x) __attribute__ ((__nothrow__ ));
extern long double remainderl (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __remainderl (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern long double scalbnl (long double __x, int __n) __attribute__ ((__nothrow__ )); extern long double __scalbnl (long double __x, int __n) __attribute__ ((__nothrow__ ));
extern int ilogbl (long double __x) __attribute__ ((__nothrow__ )); extern int __ilogbl (long double __x) __attribute__ ((__nothrow__ ));
extern long int llogbl (long double __x) __attribute__ ((__nothrow__ )); extern long int __llogbl (long double __x) __attribute__ ((__nothrow__ ));
extern long double scalblnl (long double __x, long int __n) __attribute__ ((__nothrow__ )); extern long double __scalblnl (long double __x, long int __n) __attribute__ ((__nothrow__ ));
extern long double nearbyintl (long double __x) __attribute__ ((__nothrow__ )); extern long double __nearbyintl (long double __x) __attribute__ ((__nothrow__ ));
extern long double roundl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __roundl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double truncl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __truncl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double remquol (long double __x, long double __y, int *__quo) __attribute__ ((__nothrow__ )); extern long double __remquol (long double __x, long double __y, int *__quo) __attribute__ ((__nothrow__ ));
extern long int lrintl (long double __x) __attribute__ ((__nothrow__ )); extern long int __lrintl (long double __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llrintl (long double __x) __attribute__ ((__nothrow__ )); extern long long int __llrintl (long double __x) __attribute__ ((__nothrow__ ));
extern long int lroundl (long double __x) __attribute__ ((__nothrow__ )); extern long int __lroundl (long double __x) __attribute__ ((__nothrow__ ));
__extension__
extern long long int llroundl (long double __x) __attribute__ ((__nothrow__ )); extern long long int __llroundl (long double __x) __attribute__ ((__nothrow__ ));
extern long double fdiml (long double __x, long double __y) __attribute__ ((__nothrow__ )); extern long double __fdiml (long double __x, long double __y) __attribute__ ((__nothrow__ ));
extern long double fmaxl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __fmaxl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double fminl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __fminl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double fmal (long double __x, long double __y, long double __z) __attribute__ ((__nothrow__ )); extern long double __fmal (long double __x, long double __y, long double __z) __attribute__ ((__nothrow__ ));
extern long double roundevenl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __roundevenl (long double __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern __intmax_t fromfpl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfpl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfpl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfpl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __intmax_t fromfpxl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __intmax_t __fromfpxl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern __uintmax_t ufromfpxl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ )); extern __uintmax_t __ufromfpxl (long double __x, int __round, unsigned int __width) __attribute__ ((__nothrow__ ))
;
extern long double fmaxmagl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __fmaxmagl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern long double fminmagl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)); extern long double __fminmagl (long double __x, long double __y) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern int totalorderl (long double __x, long double __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int totalordermagl (long double __x, long double __y) __attribute__ ((__nothrow__ ))
__attribute__ ((__const__));
extern int canonicalizel (long double *__cx, const long double *__x) __attribute__ ((__nothrow__ ));
extern long double getpayloadl (const long double *__x) __attribute__ ((__nothrow__ )); extern long double __getpayloadl (const long double *__x) __attribute__ ((__nothrow__ ));
extern int setpayloadl (long double *__x, long double __payload) __attribute__ ((__nothrow__ ));
extern int setpayloadsigl (long double *__x, long double __payload) __attribute__ ((__nothrow__ ));
extern long double scalbl (long double __x, long double __n) __attribute__ ((__nothrow__ )); extern long double __scalbl (long double __x, long double __n) __attribute__ ((__nothrow__ ));
extern int signgam;
enum
{
FP_NAN =
0,
FP_INFINITE =
1,
FP_ZERO =
2,
FP_SUBNORMAL =
3,
FP_NORMAL =
4
};
typedef enum
{
_IEEE_ = -1,
_SVID_,
_XOPEN_,
_POSIX_,
_ISOC_
} _LIB_VERSION_TYPE;
extern _LIB_VERSION_TYPE _LIB_VERSION;
struct exception
{
int type;
char *name;
double arg1;
double arg2;
double retval;
};
extern int matherr (struct exception *__exc);
extern int __matherr (struct exception *__exc);
extern int __signgam;
enum
{
FE_INVALID =
1,
FE_DIVBYZERO =
2,
FE_OVERFLOW =
4,
FE_UNDERFLOW =
8,
FE_INEXACT =
16,
};
typedef unsigned int fexcept_t;
typedef struct
{
unsigned int __fpcr;
unsigned int __fpsr;
}
fenv_t;
typedef unsigned int femode_t;
extern int feclearexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fegetexceptflag (fexcept_t *__flagp, int __excepts) __attribute__ ((__nothrow__ ));
extern int feraiseexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fesetexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fesetexceptflag (const fexcept_t *__flagp, int __excepts) __attribute__ ((__nothrow__ ));
extern int fetestexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fetestexceptflag (const fexcept_t *__flagp, int __excepts) __attribute__ ((__nothrow__ ));
extern int fegetround (void) __attribute__ ((__nothrow__ )) __attribute__ ((__pure__));
extern int fesetround (int __rounding_direction) __attribute__ ((__nothrow__ ));
extern int fegetenv (fenv_t *__envp) __attribute__ ((__nothrow__ ));
extern int feholdexcept (fenv_t *__envp) __attribute__ ((__nothrow__ ));
extern int fesetenv (const fenv_t *__envp) __attribute__ ((__nothrow__ ));
extern int feupdateenv (const fenv_t *__envp) __attribute__ ((__nothrow__ ));
extern int fegetmode (femode_t *__modep) __attribute__ ((__nothrow__ ));
extern int fesetmode (const femode_t *__modep) __attribute__ ((__nothrow__ ));
extern int feenableexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fedisableexcept (int __excepts) __attribute__ ((__nothrow__ ));
extern int fegetexcept (void) __attribute__ ((__nothrow__ ));
extern int __feclearexcept (int __excepts);
extern int __fegetexcept (void);
extern int __fegetexceptflag (fexcept_t *__flagp, int __excepts);
extern int __feraiseexcept (int __excepts);
extern int __fesetexceptflag (const fexcept_t *__flagp, int __excepts);
extern int __fegetenv (fenv_t *__envp);
extern int __fesetenv (const fenv_t *__envp);
extern int __feupdateenv (const fenv_t *__envp);
extern __typeof (fegetround) __fegetround __attribute__ ((__pure__));
extern __typeof (feholdexcept) __feholdexcept;
extern __typeof (fesetround) __fesetround;
struct rm_ctx
{
fenv_t env;
_Bool
updated_status;
};
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
typedef signed char int_least8_t;
typedef short int int_least16_t;
typedef int int_least32_t;
typedef long int int_least64_t;
typedef unsigned char uint_least8_t;
typedef unsigned short int uint_least16_t;
typedef unsigned int uint_least32_t;
typedef unsigned long int uint_least64_t;
typedef signed char int_fast8_t;
typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
typedef unsigned char uint_fast8_t;
typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
typedef long int intptr_t;
typedef unsigned long int uintptr_t;
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
typedef unsigned int __gwchar_t;
typedef struct
{
long int quot;
long int rem;
} imaxdiv_t;
extern intmax_t imaxabs (intmax_t __n) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern imaxdiv_t imaxdiv (intmax_t __numer, intmax_t __denom)
__attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern intmax_t strtoimax (const char *__restrict __nptr,
char **__restrict __endptr, int __base) __attribute__ ((__nothrow__ ));
extern uintmax_t strtoumax (const char *__restrict __nptr,
char ** __restrict __endptr, int __base) __attribute__ ((__nothrow__ ));
extern intmax_t wcstoimax (const __gwchar_t *__restrict __nptr,
__gwchar_t **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ ));
extern uintmax_t wcstoumax (const __gwchar_t *__restrict __nptr,
__gwchar_t ** __restrict __endptr, int __base)
__attribute__ ((__nothrow__ ));
extern long int __strtol_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern __inline intmax_t
__attribute__ ((__nothrow__ )) strtoimax (const char *__restrict nptr, char **__restrict endptr, int base)
{
return __strtol_internal (nptr, endptr, base, 0);
}
extern unsigned long int __strtoul_internal (const char *__restrict __nptr,
char ** __restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern __inline uintmax_t
__attribute__ ((__nothrow__ )) strtoumax (const char *__restrict nptr, char **__restrict endptr, int base)
{
return __strtoul_internal (nptr, endptr, base, 0);
}
extern long int __wcstol_internal (const __gwchar_t * __restrict __nptr,
__gwchar_t **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern __inline intmax_t
__attribute__ ((__nothrow__ )) wcstoimax (const __gwchar_t *__restrict nptr, __gwchar_t **__restrict endptr, int base)
{
return __wcstol_internal (nptr, endptr, base, 0);
}
extern unsigned long int __wcstoul_internal (const __gwchar_t *
__restrict __nptr,
__gwchar_t **
__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern __inline uintmax_t
__attribute__ ((__nothrow__ )) wcstoumax (const __gwchar_t *__restrict nptr, __gwchar_t **__restrict endptr, int base)
{
return __wcstoul_internal (nptr, endptr, base, 0);
}
typedef unsigned int fpu_control_t;
typedef unsigned int fpu_fpsr_t;
extern fpu_control_t __fpu_control;
extern void __setfpucw (fpu_control_t);
extern __inline __attribute__ ((__always_inline__)) double
__ieee754_sqrt (double d)
{
double res;
asm __volatile__ ("fsqrt %d0, %d1" : "=w" (res) : "w" (d));
return res;
}
extern __inline __attribute__ ((__always_inline__)) float
__ieee754_sqrtf (float s)
{
float res;
asm __volatile__ ("fsqrt %s0, %s1" : "=w" (res) : "w" (s));
return res;
}
static __inline __attribute__ ((__always_inline__)) void
libc_feholdexcept_aarch64 (fenv_t *envp)
{
fpu_control_t fpcr;
fpu_control_t new_fpcr;
fpu_fpsr_t fpsr;
fpu_fpsr_t new_fpsr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
envp->__fpcr = fpcr;
envp->__fpsr = fpsr;
new_fpcr = fpcr & ~((1 | 2 | 4 | 8 | 16) << 8);
new_fpsr = fpsr & ~(1 | 2 | 4 | 8 | 16);
if (__builtin_expect ((new_fpcr != fpcr), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (new_fpcr));
if (new_fpsr != fpsr)
__asm__ __volatile__ ("msr fpsr, %0" : : "r" (new_fpsr));
}
static __inline __attribute__ ((__always_inline__)) void
libc_fesetround_aarch64 (int round)
{
fpu_control_t fpcr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
round = (fpcr ^ round) & 0xc00000;
if (__builtin_expect ((round != 0), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (fpcr ^ round));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feholdexcept_setround_aarch64 (fenv_t *envp, int round)
{
fpu_control_t fpcr;
fpu_control_t new_fpcr;
fpu_fpsr_t fpsr;
fpu_fpsr_t new_fpsr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
envp->__fpcr = fpcr;
envp->__fpsr = fpsr;
new_fpcr = fpcr & ~(((1 | 2 | 4 | 8 | 16) << 8) | 0xc00000);
new_fpcr |= round;
new_fpsr = fpsr & ~(1 | 2 | 4 | 8 | 16);
if (__builtin_expect ((new_fpcr != fpcr), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (new_fpcr));
if (new_fpsr != fpsr)
__asm__ __volatile__ ("msr fpsr, %0" : : "r" (new_fpsr));
}
static __inline __attribute__ ((__always_inline__)) int
libc_fetestexcept_aarch64 (int ex)
{
fpu_fpsr_t fpsr;
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
return fpsr & ex & (1 | 2 | 4 | 8 | 16);
}
static __inline __attribute__ ((__always_inline__)) void
libc_fesetenv_aarch64 (const fenv_t *envp)
{
fpu_control_t fpcr;
fpu_control_t new_fpcr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
new_fpcr = envp->__fpcr;
if (__builtin_expect ((fpcr != new_fpcr), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (new_fpcr));
__asm__ __volatile__ ("msr fpsr, %0" : : "r" (envp->__fpsr));
}
static __inline __attribute__ ((__always_inline__)) int
libc_feupdateenv_test_aarch64 (const fenv_t *envp, int ex)
{
fpu_control_t fpcr;
fpu_control_t new_fpcr;
fpu_fpsr_t fpsr;
fpu_fpsr_t new_fpsr;
int excepts;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
excepts = fpsr & (1 | 2 | 4 | 8 | 16);
new_fpcr = envp->__fpcr;
new_fpsr = envp->__fpsr | excepts;
if (__builtin_expect ((fpcr != new_fpcr), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (new_fpcr));
if (fpsr != new_fpsr)
__asm__ __volatile__ ("msr fpsr, %0" : : "r" (new_fpsr));
if (__builtin_expect ((excepts & (new_fpcr >> 8)), 0))
__feraiseexcept (excepts);
return excepts & ex;
}
static __inline __attribute__ ((__always_inline__)) void
libc_feupdateenv_aarch64 (const fenv_t *envp)
{
libc_feupdateenv_test_aarch64 (envp, 0);
}
static __inline __attribute__ ((__always_inline__)) void
libc_feholdsetround_aarch64 (fenv_t *envp, int round)
{
fpu_control_t fpcr;
fpu_fpsr_t fpsr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
envp->__fpcr = fpcr;
envp->__fpsr = fpsr;
round = (fpcr ^ round) & 0xc00000;
if (__builtin_expect ((round != 0), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (fpcr ^ round));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feresetround_aarch64 (fenv_t *envp)
{
fpu_control_t fpcr;
int round;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
round = (envp->__fpcr ^ fpcr) & 0xc00000;
if (__builtin_expect ((round != 0), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (fpcr ^ round));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feholdsetround_aarch64_ctx (struct rm_ctx *ctx, int r)
{
fpu_control_t fpcr;
int round;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
ctx->env.__fpcr = fpcr;
round = (fpcr ^ r) & 0xc00000;
ctx->updated_status = round != 0;
if (__builtin_expect ((round != 0), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (fpcr ^ round));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feresetround_aarch64_ctx (struct rm_ctx *ctx)
{
if (__builtin_expect ((ctx->updated_status), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (ctx->env.__fpcr));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feholdsetround_noex_aarch64_ctx (struct rm_ctx *ctx, int r)
{
fpu_control_t fpcr;
fpu_fpsr_t fpsr;
int round;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
__asm__ __volatile__ ("mrs %0, fpsr" : "=r" (fpsr));
ctx->env.__fpcr = fpcr;
ctx->env.__fpsr = fpsr;
round = (fpcr ^ r) & 0xc00000;
ctx->updated_status = round != 0;
if (__builtin_expect ((round != 0), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (fpcr ^ round));
}
static __inline __attribute__ ((__always_inline__)) void
libc_feresetround_noex_aarch64_ctx (struct rm_ctx *ctx)
{
if (__builtin_expect ((ctx->updated_status), 0))
__asm__ __volatile__ ("msr fpcr, %0" : : "r" (ctx->env.__fpcr));
__asm__ __volatile__ ("msr fpsr, %0" : : "r" (ctx->env.__fpsr));
}
typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;
typedef __loff_t loff_t;
typedef __ino_t ino_t;
typedef __ino64_t ino64_t;
typedef __dev_t dev_t;
typedef __gid_t gid_t;
typedef __mode_t mode_t;
typedef __nlink_t nlink_t;
typedef __uid_t uid_t;
typedef __off_t off_t;
typedef __off64_t off64_t;
typedef __pid_t pid_t;
typedef __id_t id_t;
typedef __ssize_t ssize_t;
typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;
typedef __key_t key_t;
typedef __clock_t clock_t;
typedef __clockid_t clockid_t;
typedef __time_t time_t;
typedef __timer_t timer_t;
typedef __useconds_t useconds_t;
typedef __suseconds_t suseconds_t;
typedef long unsigned int size_t;
typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
typedef unsigned int u_int8_t __attribute__ ((__mode__ (__QI__)));
typedef unsigned int u_int16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int u_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int u_int64_t __attribute__ ((__mode__ (__DI__)));
typedef int register_t __attribute__ ((__mode__ (__word__)));
typedef struct
{
unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
typedef __sigset_t sigset_t;
struct timeval
{
__time_t tv_sec;
__suseconds_t tv_usec;
};
struct timespec
{
__time_t tv_sec;
__syscall_slong_t tv_nsec;
};
typedef long int __fd_mask;
typedef struct
{
__fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];
} fd_set;
typedef __fd_mask fd_mask;
extern int select (int __nfds, fd_set *__restrict __readfds,
fd_set *__restrict __writefds,
fd_set *__restrict __exceptfds,
struct timeval *__restrict __timeout);
extern int pselect (int __nfds, fd_set *__restrict __readfds,
fd_set *__restrict __writefds,
fd_set *__restrict __exceptfds,
const struct timespec *__restrict __timeout,
const __sigset_t *__restrict __sigmask);
extern int __pselect (int __nfds, fd_set *__readfds,
fd_set *__writefds, fd_set *__exceptfds,
const struct timespec *__timeout,
const __sigset_t *__sigmask);
extern int __select (int __nfds, fd_set *__restrict __readfds,
fd_set *__restrict __writefds,
fd_set *__restrict __exceptfds,
struct timeval *__restrict __timeout);
extern unsigned int gnu_dev_major (__dev_t __dev) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern unsigned int gnu_dev_minor (__dev_t __dev) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
extern __dev_t gnu_dev_makedev (unsigned int __major, unsigned int __minor) __attribute__ ((__nothrow__ )) __attribute__ ((__const__));
__extension__ extern __inline __attribute__ ((__const__)) unsigned int __attribute__ ((__nothrow__ )) gnu_dev_major (__dev_t __dev) { unsigned int __major; __major = ((__dev & (__dev_t) 0x00000000000fff00u) >> 8); __major |= ((__dev & (__dev_t) 0xfffff00000000000u) >> 32); return __major; }
__extension__ extern __inline __attribute__ ((__const__)) unsigned int __attribute__ ((__nothrow__ )) gnu_dev_minor (__dev_t __dev) { unsigned int __minor; __minor = ((__dev & (__dev_t) 0x00000000000000ffu) >> 0); __minor |= ((__dev & (__dev_t) 0x00000ffffff00000u) >> 12); return __minor; }
__extension__ extern __inline __attribute__ ((__const__)) __dev_t __attribute__ ((__nothrow__ )) gnu_dev_makedev (unsigned int __major, unsigned int __minor) { __dev_t __dev; __dev = (((__dev_t) (__major & 0x00000fffu)) << 8); __dev |= (((__dev_t) (__major & 0xfffff000u)) << 32); __dev |= (((__dev_t) (__minor & 0x000000ffu)) << 0); __dev |= (((__dev_t) (__minor & 0xffffff00u)) << 12); return __dev; }
typedef __blksize_t blksize_t;
typedef __blkcnt_t blkcnt_t;
typedef __fsblkcnt_t fsblkcnt_t;
typedef __fsfilcnt_t fsfilcnt_t;
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;
struct __pthread_rwlock_arch_t
{
unsigned int __readers;
unsigned int __writers;
unsigned int __wrphase_futex;
unsigned int __writers_futex;
unsigned int __pad3;
unsigned int __pad4;
int __cur_writer;
int __shared;
unsigned long int __pad1;
unsigned long int __pad2;
unsigned int __flags;
};
typedef struct __pthread_internal_list
{
struct __pthread_internal_list *__prev;
struct __pthread_internal_list *__next;
} __pthread_list_t;
struct __pthread_mutex_s
{
int __lock ;
unsigned int __count;
int __owner;
unsigned int __nusers;
int __kind;
;
int __spins;
__pthread_list_t __list;
;
};
struct __pthread_cond_s
{
__extension__ union
{
__extension__ unsigned long long int __wseq;
struct
{
unsigned int __low;
unsigned int __high;
} __wseq32;
};
__extension__ union
{
__extension__ unsigned long long int __g1_start;
struct
{
unsigned int __low;
unsigned int __high;
} __g1_start32;
};
unsigned int __g_refs[2] ;
unsigned int __g_size[2];
unsigned int __g1_orig_size;
unsigned int __wrefs;
unsigned int __g_signals[2];
};
typedef unsigned long int pthread_t;
typedef union
{
char __size[8];
int __align;
} pthread_mutexattr_t;
typedef union
{
char __size[8];
int __align;
} pthread_condattr_t;
typedef unsigned int pthread_key_t;
typedef int pthread_once_t;
union pthread_attr_t
{
char __size[64];
long int __align;
};
typedef union pthread_attr_t pthread_attr_t;
typedef union
{
struct __pthread_mutex_s __data;
char __size[48];
long int __align;
} pthread_mutex_t;
typedef union
{
struct __pthread_cond_s __data;
char __size[48];
__extension__ long long int __align;
} pthread_cond_t;
typedef union
{
struct __pthread_rwlock_arch_t __data;
char __size[56];
long int __align;
} pthread_rwlock_t;
typedef union
{
char __size[8];
long int __align;
} pthread_rwlockattr_t;
typedef volatile int pthread_spinlock_t;
typedef union
{
char __size[32];
long int __align;
} pthread_barrier_t;
typedef union
{
char __size[8];
int __align;
} pthread_barrierattr_t;
extern void __setfpucw (fpu_control_t);
static inline int
get_rounding_mode (void)
{
fpu_control_t fpcr;
__asm__ __volatile__ ("mrs %0, fpcr" : "=r" (fpcr));
return fpcr & 0xc00000;
}
typedef union
{
double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
} parts;
uint64_t word;
} ieee_double_shape_type;
typedef union
{
float value;
u_int32_t word;
} ieee_float_shape_type;
typedef union
{
long double value;
struct
{
uint64_t lsw;
uint64_t msw;
} parts64;
struct
{
uint32_t w3, w2, w1, w0;
} parts32;
} ieee854_long_double_shape_type;
extern double __ieee754_acos (double);
extern double __ieee754_acosh (double);
extern double __ieee754_asin (double);
extern double __ieee754_atan2 (double, double);
extern double __ieee754_atanh (double);
extern double __ieee754_cosh (double);
extern double __ieee754_exp (double);
extern double __ieee754_exp10 (double);
extern double __ieee754_exp2 (double);
extern double __ieee754_fmod (double, double);
extern double __ieee754_gamma (double);
extern double __ieee754_gamma_r (double, int *);
extern double __ieee754_hypot (double, double);
extern double __ieee754_j0 (double);
extern double __ieee754_j1 (double);
extern double __ieee754_jn (int, double);
extern double __ieee754_lgamma (double);
extern double __ieee754_lgamma_r (double, int *);
extern double __ieee754_log (double);
extern double __ieee754_log10 (double);
extern double __ieee754_log2 (double);
extern double __ieee754_pow (double, double);
extern double __ieee754_remainder (double, double);
extern double __ieee754_sinh (double);
extern double __ieee754_sqrt (double);
extern double __ieee754_y0 (double);
extern double __ieee754_y1 (double);
extern double __ieee754_yn (int, double);
extern double __ieee754_scalb (double, double);
extern int __ieee754_ilogb (double);
extern int32_t __ieee754_rem_pio2 (double, double *);
extern double __kernel_sin (double, double, int);
extern double __kernel_cos (double, double);
extern double __kernel_tan (double, double, int);
extern int __kernel_rem_pio2 (double *, double *, int,
int, int, const int32_t *);
extern double __copysign (double x, double __y);
extern inline double
__copysign (double x, double __y)
{
return __builtin_copysign (x, __y);
}
extern double __x2y2m1 (double x, double y);
extern double __gamma_product (double x, double x_eps,
int n, double *eps);
extern double __lgamma_neg (double x, int *signgamp);
extern double __lgamma_product (double t, double x,
double x_eps, int n);
extern float __ieee754_acosf (float);
extern float __ieee754_acoshf (float);
extern float __ieee754_asinf (float);
extern float __ieee754_atan2f (float, float);
extern float __ieee754_atanhf (float);
extern float __ieee754_coshf (float);
extern float __ieee754_expf (float);
extern float __ieee754_exp10f (float);
extern float __ieee754_exp2f (float);
extern float __ieee754_fmodf (float, float);
extern float __ieee754_gammaf (float);
extern float __ieee754_gammaf_r (float, int *);
extern float __ieee754_hypotf (float, float);
extern float __ieee754_j0f (float);
extern float __ieee754_j1f (float);
extern float __ieee754_jnf (int, float);
extern float __ieee754_lgammaf (float);
extern float __ieee754_lgammaf_r (float, int *);
extern float __ieee754_logf (float);
extern float __ieee754_log10f (float);
extern float __ieee754_log2f (float);
extern float __ieee754_powf (float, float);
extern float __ieee754_remainderf (float, float);
extern float __ieee754_sinhf (float);
extern float __ieee754_sqrtf (float);
extern float __ieee754_y0f (float);
extern float __ieee754_y1f (float);
extern float __ieee754_ynf (int, float);
extern float __ieee754_scalbf (float, float);
extern int __ieee754_ilogbf (float);
extern int32_t __ieee754_rem_pio2f (float, float *);
extern float __kernel_sinf (float, float, int);
extern float __kernel_cosf (float, float);
extern float __kernel_tanf (float, float, int);
extern int __kernel_rem_pio2f (float *, float *, int,
int, int, const int32_t *);
extern float __copysignf (float x, float __y);
extern inline float
__copysignf (float x, float __y)
{
return __builtin_copysignf (x, __y);
}
extern float __x2y2m1f (float x, float y);
extern float __gamma_productf (float x, float x_eps,
int n, float *eps);
extern float __lgamma_negf (float x, int *signgamp);
extern long double __ieee754_acosl (long double);
extern long double __ieee754_acoshl (long double);
extern long double __ieee754_asinl (long double);
extern long double __ieee754_atan2l (long double, long double);
extern long double __ieee754_atanhl (long double);
extern long double __ieee754_coshl (long double);
extern long double __ieee754_expl (long double);
extern long double __ieee754_exp10l (long double);
extern long double __ieee754_exp2l (long double);
extern long double __ieee754_fmodl (long double, long double);
extern long double __ieee754_gammal (long double);
extern long double __ieee754_gammal_r (long double, int *);
extern long double __ieee754_hypotl (long double, long double);
extern long double __ieee754_j0l (long double);
extern long double __ieee754_j1l (long double);
extern long double __ieee754_jnl (int, long double);
extern long double __ieee754_lgammal (long double);
extern long double __ieee754_lgammal_r (long double, int *);
extern long double __ieee754_logl (long double);
extern long double __ieee754_log10l (long double);
extern long double __ieee754_log2l (long double);
extern long double __ieee754_powl (long double, long double);
extern long double __ieee754_remainderl (long double, long double);
extern long double __ieee754_sinhl (long double);
extern long double __ieee754_sqrtl (long double);
extern long double __ieee754_y0l (long double);
extern long double __ieee754_y1l (long double);
extern long double __ieee754_ynl (int, long double);
extern long double __ieee754_scalbl (long double, long double);
extern int __ieee754_ilogbl (long double);
extern int32_t __ieee754_rem_pio2l (long double, long double *);
extern long double __kernel_sinl (long double, long double, int);
extern long double __kernel_cosl (long double, long double);
extern long double __kernel_tanl (long double, long double, int);
extern void __kernel_sincosl (long double, long double,
long double *, long double *, int);
extern long double __copysignl (long double x, long double __y);
extern inline long double
__copysignl (long double x, long double __y)
{
return __builtin_copysignl (x, __y);
}
extern long double __x2y2m1l (long double x, long double y);
extern long double __gamma_productl (long double x, long double x_eps,
int n, long double *eps);
extern long double __lgamma_negl (long double x, int *signgamp);
extern long double __lgamma_productl (long double t, long double x,
long double x_eps, int n);
extern double __kernel_standard (double,double,int);
extern float __kernel_standard_f (float,float,int);
extern long double __kernel_standard_l (long double,long double,int);
extern double __exp1 (double __x, double __xx, double __error);
extern double __sin (double __x);
extern double __cos (double __x);
extern int __branred (double __x, double *__a, double *__aa);
extern void __doasin (double __x, double __dx, double __v[]);
extern void __dubsin (double __x, double __dx, double __v[]);
extern void __dubcos (double __x, double __dx, double __v[]);
extern double __halfulp (double __x, double __y);
extern double __sin32 (double __x, double __res, double __res1);
extern double __cos32 (double __x, double __res, double __res1);
extern double __mpsin (double __x, double __dx,
_Bool
__range_reduce);
extern double __mpcos (double __x, double __dx,
_Bool
__range_reduce);
extern double __slowexp (double __x);
extern double __slowpow (double __x, double __y, double __z);
extern void __docos (double __x, double __dx, double __v[]);
static __inline __attribute__ ((__always_inline__)) void
default_libc_feholdexcept (fenv_t *e)
{
(void) __feholdexcept (e);
}
static __inline __attribute__ ((__always_inline__)) void
default_libc_fesetround (int r)
{
(void) __fesetround (r);
}
static __inline __attribute__ ((__always_inline__)) void
default_libc_feholdexcept_setround (fenv_t *e, int r)
{
__feholdexcept (e);
__fesetround (r);
}
static __inline __attribute__ ((__always_inline__)) void
default_libc_fesetenv (fenv_t *e)
{
(void) __fesetenv (e);
}
static __inline __attribute__ ((__always_inline__)) void
default_libc_feupdateenv (fenv_t *e)
{
(void) __feupdateenv (e);
}
static __inline __attribute__ ((__always_inline__)) int
default_libc_feupdateenv_test (fenv_t *e, int ex)
{
int ret = fetestexcept (ex);
__feupdateenv (e);
return ret;
}
typedef long int ptrdiff_t;
typedef unsigned int wchar_t;
typedef struct {
long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
} max_align_t;
typedef struct
{
int quot;
int rem;
} div_t;
typedef struct
{
long int quot;
long int rem;
} ldiv_t;
__extension__ typedef struct
{
long long int quot;
long long int rem;
} lldiv_t;
extern size_t __ctype_get_mb_cur_max (void) __attribute__ ((__nothrow__ )) ;
extern double atof (const char *__nptr)
__attribute__ ((__nothrow__ )) __attribute__ ((__pure__)) ;
extern int atoi (const char *__nptr)
__attribute__ ((__nothrow__ )) __attribute__ ((__pure__)) ;
extern long int atol (const char *__nptr)
__attribute__ ((__nothrow__ )) __attribute__ ((__pure__)) ;
__extension__ extern long long int atoll (const char *__nptr)
__attribute__ ((__nothrow__ )) __attribute__ ((__pure__)) ;
extern double strtod (const char *__restrict __nptr,
char **__restrict __endptr)
__attribute__ ((__nothrow__ )) ;
extern float strtof (const char *__restrict __nptr,
char **__restrict __endptr) __attribute__ ((__nothrow__ )) ;
extern long double strtold (const char *__restrict __nptr,
char **__restrict __endptr)
__attribute__ ((__nothrow__ )) ;
extern long int strtol (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
extern unsigned long int strtoul (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
__extension__
extern long long int strtoq (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
__extension__
extern long long int strtoll (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
char **__restrict __endptr, int __base)
__attribute__ ((__nothrow__ )) ;
extern int strfromd (char *__dest, size_t __size, const char *__format,
double __f)
__attribute__ ((__nothrow__ )) ;
extern int strfromf (char *__dest, size_t __size, const char *__format,
float __f)
__attribute__ ((__nothrow__ )) ;
extern int strfroml (char *__dest, size_t __size, const char *__format,
long double __f)
__attribute__ ((__nothrow__ )) ;
struct __locale_struct
{
struct __locale_data *__locales[13];
const unsigned short int *__ctype_b;
const int *__ctype_tolower;
const int *__ctype_toupper;
const char *__names[13];
};
typedef struct __locale_struct *__locale_t;
typedef __locale_t locale_t;
extern long int strtol_l (const char *__restrict __nptr,
char **__restrict __endptr, int __base,
locale_t __loc) __attribute__ ((__nothrow__ )) ;
extern unsigned long int strtoul_l (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, locale_t __loc)
__attribute__ ((__nothrow__ )) ;
__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
char **__restrict __endptr, int __base,
locale_t __loc)
__attribute__ ((__nothrow__ )) ;
__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, locale_t __loc)
__attribute__ ((__nothrow__ )) ;
extern double strtod_l (const char *__restrict __nptr,
char **__restrict __endptr, locale_t __loc)
__attribute__ ((__nothrow__ )) ;
extern float strtof_l (const char *__restrict __nptr,
char **__restrict __endptr, locale_t __loc)
__attribute__ ((__nothrow__ )) ;
extern long double strtold_l (const char *__restrict __nptr,
char **__restrict __endptr,
locale_t __loc)
__attribute__ ((__nothrow__ )) ;
extern __inline int
__attribute__ ((__nothrow__ )) atoi (const char *__nptr)
{
return (int) strtol (__nptr, (char **)
((void *)0)
, 10);
}
extern __inline long int
__attribute__ ((__nothrow__ )) atol (const char *__nptr)
{
return strtol (__nptr, (char **)
((void *)0)
, 10);
}
__extension__ extern __inline long long int
__attribute__ ((__nothrow__ )) atoll (const char *__nptr)
{
return strtoll (__nptr, (char **)
((void *)0)
, 10);
}
extern char *l64a (long int __n) __attribute__ ((__nothrow__ )) ;
extern long int a64l (const char *__s)
__attribute__ ((__nothrow__ )) __attribute__ ((__pure__)) ;
extern long int random (void) __attribute__ ((__nothrow__ ));
extern void srandom (unsigned int __seed) __attribute__ ((__nothrow__ ));
extern char *initstate (unsigned int __seed, char *__statebuf,
size_t __statelen) __attribute__ ((__nothrow__ )) ;
extern char *setstate (char *__statebuf) __attribute__ ((__nothrow__ )) ;
struct random_data
{
int32_t *fptr;
int32_t *rptr;
int32_t *state;
int rand_type;
int rand_deg;
int rand_sep;
int32_t *end_ptr;
};
extern int random_r (struct random_data *__restrict __buf,
int32_t *__restrict __result) __attribute__ ((__nothrow__ )) ;
extern int srandom_r (unsigned int __seed, struct random_data *__buf)
__attribute__ ((__nothrow__ )) ;
extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
size_t __statelen,
struct random_data *__restrict __buf)
__attribute__ ((__nothrow__ )) ;
extern int setstate_r (char *__restrict __statebuf,
struct random_data *__restrict __buf)
__attribute__ ((__nothrow__ )) ;
extern int rand (void) __attribute__ ((__nothrow__ ));
extern void srand (unsigned int __seed) __attribute__ ((__nothrow__ ));
extern int rand_r (unsigned int *__seed) __attribute__ ((__nothrow__ ));
extern double drand48 (void) __attribute__ ((__nothrow__ ));
extern double erand48 (unsigned short int __xsubi[3]) __attribute__ ((__nothrow__ )) ;
extern long int lrand48 (void) __attribute__ ((__nothrow__ ));
extern long int nrand48 (unsigned short int __xsubi[3])
__attribute__ ((__nothrow__ )) ;
extern long int mrand48 (void) __attribute__ ((__nothrow__ ));
extern long int jrand48 (unsigned short int __xsubi[3])
__attribute__ ((__nothrow__ )) ;
extern void srand48 (long int __seedval) __attribute__ ((__nothrow__ ));
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
__attribute__ ((__nothrow__ )) ;
extern void lcong48 (unsigned short int __param[7]) __attribute__ ((__nothrow__ )) ;
struct drand48_data
{
unsigned short int __x[3];
unsigned short int __old_x[3];
unsigned short int __c;
unsigned short int __init;
__extension__ unsigned long long int __a;
};
extern int drand48_r (struct drand48_data *__restrict __buffer,
double *__restrict __result) __attribute__ ((__nothrow__ )) ;
extern int erand48_r (unsigned short int __xsubi[3],
struct drand48_data *__restrict __buffer,
double *__restrict __result) __attribute__ ((__nothrow__ )) ;
extern int lrand48_r (struct drand48_data *__restrict __buffer,
long int *__restrict __result)
__attribute__ ((__nothrow__ )) ;
extern int nrand48_r (unsigned short int __xsubi[3],
struct drand48_data *__restrict __buffer,
long int *__restrict __result)
__attribute__ ((__nothrow__ )) ;
extern int mrand48_r (struct drand48_data *__restrict __buffer,
long int *__restrict __result)
__attribute__ ((__nothrow__ )) ;
extern int jrand48_r (unsigned short int __xsubi[3],
struct drand48_data *__restrict __buffer,
long int *__restrict __result)
__attribute__ ((__nothrow__ )) ;
extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
__attribute__ ((__nothrow__ )) ;
extern int seed48_r (unsigned short int __seed16v[3],
struct drand48_data *__buffer) __attribute__ ((__nothrow__ )) ;
extern int lcong48_r (unsigned short int __param[7],
struct drand48_data *__buffer)
__attribute__ ((__nothrow__ )) ;
extern void *malloc (size_t __size) __attribute__ ((__nothrow__ )) __attribute__ ((__malloc__)) ;
extern void *calloc (size_t __nmemb, size_t __size)
__attribute__ ((__nothrow__ )) __attribute__ ((__malloc__)) ;
extern void *realloc (void *__ptr, size_t __size)
__attribute__ ((__nothrow__ )) __attribute__ ((__warn_unused_result__));
extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
__attribute__ ((__nothrow__ )) __attribute__ ((__warn_unused_result__));
extern void free (void *__ptr) __attribute__ ((__nothrow__ ));
extern void *alloca (size_t __size) __attribute__ ((__nothrow__ ));
typedef uint16_t Elf32_Half;
typedef uint16_t Elf64_Half;
typedef uint32_t Elf32_Word;
typedef int32_t Elf32_Sword;
typedef uint32_t Elf64_Word;
typedef int32_t Elf64_Sword;
typedef uint64_t Elf32_Xword;
typedef int64_t Elf32_Sxword;
typedef uint64_t Elf64_Xword;
typedef int64_t Elf64_Sxword;
typedef uint32_t Elf32_Addr;
typedef uint64_t Elf64_Addr;
typedef uint32_t Elf32_Off;
typedef uint64_t Elf64_Off;
typedef uint16_t Elf32_Section;
typedef uint16_t Elf64_Section;
typedef Elf32_Half Elf32_Versym;
typedef Elf64_Half Elf64_Versym;
typedef struct
{
unsigned char e_ident[(16)];
Elf32_Half e_type;
Elf32_Half e_machine;
Elf32_Word e_version;
Elf32_Addr e_entry;
Elf32_Off e_phoff;
Elf32_Off e_shoff;
Elf32_Word e_flags;
Elf32_Half e_ehsize;
Elf32_Half e_phentsize;
Elf32_Half e_phnum;
Elf32_Half e_shentsize;
Elf32_Half e_shnum;
Elf32_Half e_shstrndx;
} Elf32_Ehdr;
typedef struct
{
unsigned char e_ident[(16)];
Elf64_Half e_type;
Elf64_Half e_machine;
Elf64_Word e_version;
Elf64_Addr e_entry;
Elf64_Off e_phoff;
Elf64_Off e_shoff;
Elf64_Word e_flags;
Elf64_Half e_ehsize;
Elf64_Half e_phentsize;
Elf64_Half e_phnum;
Elf64_Half e_shentsize;
Elf64_Half e_shnum;
Elf64_Half e_shstrndx;
} Elf64_Ehdr;
typedef struct
{
Elf32_Word sh_name;
Elf32_Word sh_type;
Elf32_Word sh_flags;
Elf32_Addr sh_addr;
Elf32_Off sh_offset;
Elf32_Word sh_size;
Elf32_Word sh_link;
Elf32_Word sh_info;
Elf32_Word sh_addralign;
Elf32_Word sh_entsize;
} Elf32_Shdr;
typedef struct
{
Elf64_Word sh_name;
Elf64_Word sh_type;
Elf64_Xword sh_flags;
Elf64_Addr sh_addr;
Elf64_Off sh_offset;
Elf64_Xword sh_size;
Elf64_Word sh_link;
Elf64_Word sh_info;
Elf64_Xword sh_addralign;
Elf64_Xword sh_entsize;
} Elf64_Shdr;
typedef struct
{
Elf32_Word ch_type;
Elf32_Word ch_size;
Elf32_Word ch_addralign;
} Elf32_Chdr;
typedef struct
{
Elf64_Word ch_type;
Elf64_Word ch_reserved;
Elf64_Xword ch_size;
Elf64_Xword ch_addralign;
} Elf64_Chdr;
typedef struct
{
Elf32_Word st_name;
Elf32_Addr st_value;
Elf32_Word st_size;
unsigned char st_info;
unsigned char st_other;
Elf32_Section st_shndx;
} Elf32_Sym;
typedef struct
{
Elf64_Word st_name;
unsigned char st_info;
unsigned char st_other;
Elf64_Section st_shndx;
Elf64_Addr st_value;
Elf64_Xword st_size;
} Elf64_Sym;
typedef struct
{
Elf32_Half si_boundto;
Elf32_Half si_flags;
} Elf32_Syminfo;
typedef struct
{
Elf64_Half si_boundto;
Elf64_Half si_flags;
} Elf64_Syminfo;
typedef struct
{
Elf32_Addr r_offset;
Elf32_Word r_info;
} Elf32_Rel;
typedef struct
{
Elf64_Addr r_offset;
Elf64_Xword r_info;
} Elf64_Rel;
typedef struct
{
Elf32_Addr r_offset;
Elf32_Word r_info;
Elf32_Sword r_addend;
} Elf32_Rela;
typedef struct
{
Elf64_Addr r_offset;
Elf64_Xword r_info;
Elf64_Sxword r_addend;
} Elf64_Rela;
typedef struct
{
Elf32_Word p_type;
Elf32_Off p_offset;
Elf32_Addr p_vaddr;
Elf32_Addr p_paddr;
Elf32_Word p_filesz;
Elf32_Word p_memsz;
Elf32_Word p_flags;
Elf32_Word p_align;
} Elf32_Phdr;
typedef struct
{
Elf64_Word p_type;
Elf64_Word p_flags;
Elf64_Off p_offset;
Elf64_Addr p_vaddr;
Elf64_Addr p_paddr;
Elf64_Xword p_filesz;
Elf64_Xword p_memsz;
Elf64_Xword p_align;
} Elf64_Phdr;
typedef struct
{
Elf32_Sword d_tag;
union
{
Elf32_Word d_val;
Elf32_Addr d_ptr;
} d_un;
} Elf32_Dyn;
typedef struct
{
Elf64_Sxword d_tag;
union
{
Elf64_Xword d_val;
Elf64_Addr d_ptr;
} d_un;
} Elf64_Dyn;
typedef struct
{
Elf32_Half vd_version;
Elf32_Half vd_flags;
Elf32_Half vd_ndx;
Elf32_Half vd_cnt;
Elf32_Word vd_hash;
Elf32_Word vd_aux;
Elf32_Word vd_next;
} Elf32_Verdef;
typedef struct
{
Elf64_Half vd_version;
Elf64_Half vd_flags;
Elf64_Half vd_ndx;
Elf64_Half vd_cnt;
Elf64_Word vd_hash;
Elf64_Word vd_aux;
Elf64_Word vd_next;
} Elf64_Verdef;
typedef struct
{
Elf32_Word vda_name;
Elf32_Word vda_next;
} Elf32_Verdaux;
typedef struct
{
Elf64_Word vda_name;
Elf64_Word vda_next;
} Elf64_Verdaux;
typedef struct
{
Elf32_Half vn_version;
Elf32_Half vn_cnt;
Elf32_Word vn_file;
Elf32_Word vn_aux;
Elf32_Word vn_next;
} Elf32_Verneed;
typedef struct
{
Elf64_Half vn_version;
Elf64_Half vn_cnt;
Elf64_Word vn_file;
Elf64_Word vn_aux;
Elf64_Word vn_next;
} Elf64_Verneed;
typedef struct
{
Elf32_Word vna_hash;
Elf32_Half vna_flags;
Elf32_Half vna_other;
Elf32_Word vna_name;
Elf32_Word vna_next;
} Elf32_Vernaux;
typedef struct
{
Elf64_Word vna_hash;
Elf64_Half vna_flags;
Elf64_Half vna_other;
Elf64_Word vna_name;
Elf64_Word vna_next;
} Elf64_Vernaux;
typedef struct
{
uint32_t a_type;
union
{
uint32_t a_val;
} a_un;
} Elf32_auxv_t;
typedef struct
{
uint64_t a_type;
union
{
uint64_t a_val;
} a_un;
} Elf64_auxv_t;
typedef struct
{
Elf32_Word n_namesz;
Elf32_Word n_descsz;
Elf32_Word n_type;
} Elf32_Nhdr;
typedef struct
{
Elf64_Word n_namesz;
Elf64_Word n_descsz;
Elf64_Word n_type;
} Elf64_Nhdr;
typedef struct
{
Elf32_Xword m_value;
Elf32_Word m_info;
Elf32_Word m_poffset;
Elf32_Half m_repeat;
Elf32_Half m_stride;
} Elf32_Move;
typedef struct
{
Elf64_Xword m_value;
Elf64_Xword m_info;
Elf64_Xword m_poffset;
Elf64_Half m_repeat;
Elf64_Half m_stride;
} Elf64_Move;
typedef union
{
struct
{
Elf32_Word gt_current_g_value;
Elf32_Word gt_unused;
} gt_header;
struct
{
Elf32_Word gt_g_value;
Elf32_Word gt_bytes;
} gt_entry;
} Elf32_gptab;
typedef struct
{
Elf32_Word ri_gprmask;
Elf32_Word ri_cprmask[4];
Elf32_Sword ri_gp_value;
} Elf32_RegInfo;
typedef struct
{
unsigned char kind;
unsigned char size;
Elf32_Section section;
Elf32_Word info;
} Elf_Options;
typedef struct
{
Elf32_Word hwp_flags1;
Elf32_Word hwp_flags2;
} Elf_Options_Hw;
typedef struct
{
Elf32_Word l_name;
Elf32_Word l_time_stamp;
Elf32_Word l_checksum;
Elf32_Word l_version;
Elf32_Word l_flags;
} Elf32_Lib;
typedef struct
{
Elf64_Word l_name;
Elf64_Word l_time_stamp;
Elf64_Word l_checksum;
Elf64_Word l_version;
Elf64_Word l_flags;
} Elf64_Lib;
typedef Elf32_Addr Elf32_Conflict;
typedef struct
{
Elf32_Half version;
unsigned char isa_level;
unsigned char isa_rev;
unsigned char gpr_size;
unsigned char cpr1_size;
unsigned char cpr2_size;
unsigned char fp_abi;
Elf32_Word isa_ext;
Elf32_Word ases;
Elf32_Word flags1;
Elf32_Word flags2;
} Elf_MIPS_ABIFlags_v0;
enum
{
Val_GNU_MIPS_ABI_FP_ANY = 0,
Val_GNU_MIPS_ABI_FP_DOUBLE = 1,
Val_GNU_MIPS_ABI_FP_SINGLE = 2,
Val_GNU_MIPS_ABI_FP_SOFT = 3,
Val_GNU_MIPS_ABI_FP_OLD_64 = 4,
Val_GNU_MIPS_ABI_FP_XX = 5,
Val_GNU_MIPS_ABI_FP_64 = 6,
Val_GNU_MIPS_ABI_FP_64A = 7,
Val_GNU_MIPS_ABI_FP_MAX = 7
};
extern void *__alloca (size_t __size);
extern int __libc_use_alloca (size_t size) __attribute__ ((const));
extern int __libc_alloca_cutoff (size_t size) __attribute__ ((const));
extern __inline __attribute__ ((__always_inline__))
int
__libc_use_alloca (size_t size)
{
return (__builtin_expect (size <= 131072 / 4, 1)
|| __builtin_expect (__libc_alloca_cutoff (size), 1));
}
extern void *valloc (size_t __size) __attribute__ ((__nothrow__ )) __attribute__ ((__malloc__)) ;
extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
__attribute__ ((__nothrow__ )) ;
extern void *aligned_alloc (size_t __alignment, size_t __size)
__attribute__ ((__nothrow__ )) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (2))) ;
extern void abort (void) __attribute__ ((__nothrow__ )) __attribute__ ((__noreturn__));
extern int atexit (void (*__func) (void)) __attribute__ ((__nothrow__ )) ;
extern int at_quick_exit (void (*__func) (void)) __attribute__ ((__nothrow__ )) ;
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
__attribute__ ((__nothrow__ )) ;
extern void exit (int __status) __attribute__ ((__nothrow__ )) __attribute__ ((__noreturn__));
extern void quick_exit (int __status) __attribute__ ((__nothrow__ )) __attribute__ ((__noreturn__));
extern void _Exit (int __status) __attribute__ ((__nothrow__ )) __attribute__ ((__noreturn__));
extern char *getenv (const char *__name) __attribute__ ((__nothrow__ )) ;
extern char *secure_getenv (const char *__name)
__attribute__ ((__nothrow__ )) ;
extern int putenv (char *__string) __attribute__ ((__nothrow__ )) ;
extern int setenv (const char *__name, const char *__value, int __replace)
__attribute__ ((__nothrow__ )) ;
extern int unsetenv (const char *__name) __attribute__ ((__nothrow__ )) ;
extern int clearenv (void) __attribute__ ((__nothrow__ ));
extern char *mktemp (char *__template) __attribute__ ((__nothrow__ )) ;
extern int mkstemp (char *__template) ;
extern int mkstemp64 (char *__template) ;
extern int mkstemps (char *__template, int __suffixlen) ;
extern int mkstemps64 (char *__template, int __suffixlen)
;
extern char *mkdtemp (char *__template) __attribute__ ((__nothrow__ )) ;
extern int mkostemp (char *__template, int __flags) ;
extern int mkostemp64 (char *__template, int __flags) ;
extern int mkostemps (char *__template, int __suffixlen, int __flags)
;
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
;
extern int system (const char *__command) ;
extern char *canonicalize_file_name (const char *__name)
__attribute__ ((__nothrow__ )) ;
extern char *realpath (const char *__restrict __name,
char *__restrict __resolved) __attribute__ ((__nothrow__ )) ;
typedef int (*__compar_fn_t) (const void *, const void *);
typedef __compar_fn_t comparison_fn_t;
typedef int (*__compar_d_fn_t) (const void *, const void *, void *);
extern void *bsearch (const void *__key, const void *__base,
size_t __nmemb, size_t __size, __compar_fn_t __compar)
;
extern __inline void *
bsearch (const void *__key, const void *__base, size_t __nmemb, size_t __size,
__compar_fn_t __compar)
{
size_t __l, __u, __idx;
const void *__p;
int __comparison;
__l = 0;
__u = __nmemb;
while (__l < __u)
{
__idx = (__l + __u) / 2;
__p = (void *) (((const char *) __base) + (__idx * __size));
__comparison = (*__compar) (__key, __p);
if (__comparison < 0)
__u = __idx;
else if (__comparison > 0)
__l = __idx + 1;
else
return (void *) __p;
}
return
((void *)0)
;
}
extern void qsort (void *__base, size_t __nmemb, size_t __size,
__compar_fn_t __compar) ;
extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
__compar_d_fn_t __compar, void *__arg)
;
extern int abs (int __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
extern long int labs (long int __x) __attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
__extension__ extern long long int llabs (long long int __x)
__attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
extern div_t div (int __numer, int __denom)
__attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
__attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
__extension__ extern lldiv_t lldiv (long long int __numer,
long long int __denom)
__attribute__ ((__nothrow__ )) __attribute__ ((__const__)) ;
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign) __attribute__ ((__nothrow__ )) ;
extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign) __attribute__ ((__nothrow__ )) ;
extern char *gcvt (double __value, int __ndigit, char *__buf)
__attribute__ ((__nothrow__ )) ;
extern char *qecvt (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign)
__attribute__ ((__nothrow__ )) ;
extern char *qfcvt (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign)
__attribute__ ((__nothrow__ )) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
__attribute__ ((__nothrow__ )) ;
extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign, char *__restrict __buf,
size_t __len) __attribute__ ((__nothrow__ )) ;
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign, char *__restrict __buf,
size_t __len) __attribute__ ((__nothrow__ )) ;
extern int qecvt_r (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign,
char *__restrict __buf, size_t __len)
__attribute__ ((__nothrow__ )) ;
extern int qfcvt_r (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign,
char *__restrict __buf, size_t __len)
__attribute__ ((__nothrow__ )) ;
extern int mblen (const char *__s, size_t __n) __attribute__ ((__nothrow__ ));
extern int mbtowc (wchar_t *__restrict __pwc,
const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ ));
extern int wctomb (char *__s, wchar_t __wchar) __attribute__ ((__nothrow__ ));
extern size_t mbstowcs (wchar_t *__restrict __pwcs,
const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ ));
extern size_t wcstombs (char *__restrict __s,
const wchar_t *__restrict __pwcs, size_t __n)
__attribute__ ((__nothrow__ ));
extern int rpmatch (const char *__response) __attribute__ ((__nothrow__ )) ;
extern int getsubopt (char **__restrict __optionp,
char *const *__restrict __tokens,
char **__restrict __valuep)
__attribute__ ((__nothrow__ )) ;
extern void setkey (const char *__key) __attribute__ ((__nothrow__ )) ;
extern int posix_openpt (int __oflag) ;
extern int grantpt (int __fd) __attribute__ ((__nothrow__ ));
extern int unlockpt (int __fd) __attribute__ ((__nothrow__ ));
extern char *ptsname (int __fd) __attribute__ ((__nothrow__ )) ;
extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
__attribute__ ((__nothrow__ )) ;
extern int getpt (void);
extern int getloadavg (double __loadavg[], int __nelem)
__attribute__ ((__nothrow__ )) ;
extern __inline double
__attribute__ ((__nothrow__ )) atof (const char *__nptr)
{
return strtod (__nptr, (char **)
((void *)0)
);
}
struct stat
{
__dev_t st_dev;
__ino_t st_ino;
__mode_t st_mode;
__nlink_t st_nlink;
__uid_t st_uid;
__gid_t st_gid;
__dev_t st_rdev;
__dev_t __pad1;
__off_t st_size;
__blksize_t st_blksize;
int __pad2;
__blkcnt_t st_blocks;
struct timespec st_atim;
struct timespec st_mtim;
struct timespec st_ctim;
int __glibc_reserved[2];
};
struct stat64
{
__dev_t st_dev;
__ino64_t st_ino;
__mode_t st_mode;
__nlink_t st_nlink;
__uid_t st_uid;
__gid_t st_gid;
__dev_t st_rdev;
__dev_t __pad1;
__off64_t st_size;
__blksize_t st_blksize;
int __pad2;
__blkcnt64_t st_blocks;
struct timespec st_atim;
struct timespec st_mtim;
struct timespec st_ctim;
int __glibc_reserved[2];
};
extern int stat (const char *__restrict __file,
struct stat *__restrict __buf) __attribute__ ((__nothrow__ )) ;
extern int fstat (int __fd, struct stat *__buf) __attribute__ ((__nothrow__ )) ;
extern int stat64 (const char *__restrict __file,
struct stat64 *__restrict __buf) __attribute__ ((__nothrow__ )) ;
extern int fstat64 (int __fd, struct stat64 *__buf) __attribute__ ((__nothrow__ )) ;
extern int fstatat (int __fd, const char *__restrict __file,
struct stat *__restrict __buf, int __flag)
__attribute__ ((__nothrow__ )) ;
extern int fstatat64 (int __fd, const char *__restrict __file,
struct stat64 *__restrict __buf, int __flag)
__attribute__ ((__nothrow__ )) ;
extern int lstat (const char *__restrict __file,
struct stat *__restrict __buf) __attribute__ ((__nothrow__ )) ;
extern int lstat64 (const char *__restrict __file,
struct stat64 *__restrict __buf)
__attribute__ ((__nothrow__ )) ;
extern int chmod (const char *__file, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int lchmod (const char *__file, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int fchmod (int __fd, __mode_t __mode) __attribute__ ((__nothrow__ ));
extern int fchmodat (int __fd, const char *__file, __mode_t __mode,
int __flag)
__attribute__ ((__nothrow__ )) ;
extern __mode_t umask (__mode_t __mask) __attribute__ ((__nothrow__ ));
extern __mode_t getumask (void) __attribute__ ((__nothrow__ ));
extern int mkdir (const char *__path, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int mkdirat (int __fd, const char *__path, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int mknod (const char *__path, __mode_t __mode, __dev_t __dev)
__attribute__ ((__nothrow__ )) ;
extern int mknodat (int __fd, const char *__path, __mode_t __mode,
__dev_t __dev) __attribute__ ((__nothrow__ )) ;
extern int mkfifo (const char *__path, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int mkfifoat (int __fd, const char *__path, __mode_t __mode)
__attribute__ ((__nothrow__ )) ;
extern int utimensat (int __fd, const char *__path,
const struct timespec __times[2],
int __flags)
__attribute__ ((__nothrow__ )) ;
extern int futimens (int __fd, const struct timespec __times[2]) __attribute__ ((__nothrow__ ));
extern int __fxstat (int __ver, int __fildes, struct stat *__stat_buf)
__attribute__ ((__nothrow__ )) ;
extern int __xstat (int __ver, const char *__filename,
struct stat *__stat_buf) __attribute__ ((__nothrow__ )) ;
extern int __lxstat (int __ver, const char *__filename,
struct stat *__stat_buf) __attribute__ ((__nothrow__ )) ;
extern int __fxstatat (int __ver, int __fildes, const char *__filename,
struct stat *__stat_buf, int __flag)
__attribute__ ((__nothrow__ )) ;
extern int __fxstat64 (int __ver, int __fildes, struct stat64 *__stat_buf)
__attribute__ ((__nothrow__ )) ;
extern int __xstat64 (int __ver, const char *__filename,
struct stat64 *__stat_buf) __attribute__ ((__nothrow__ )) ;
extern int __lxstat64 (int __ver, const char *__filename,
struct stat64 *__stat_buf) __attribute__ ((__nothrow__ )) ;
extern int __fxstatat64 (int __ver, int __fildes, const char *__filename,
struct stat64 *__stat_buf, int __flag)
__attribute__ ((__nothrow__ )) ;
extern int __xmknod (int __ver, const char *__path, __mode_t __mode,
__dev_t *__dev) __attribute__ ((__nothrow__ )) ;
extern int __xmknodat (int __ver, int __fd, const char *__path,
__mode_t __mode, __dev_t *__dev)
__attribute__ ((__nothrow__ )) ;
extern __inline int
__attribute__ ((__nothrow__ )) stat (const char *__path, struct stat *__statbuf)
{
return __xstat (0, __path, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) lstat (const char *__path, struct stat *__statbuf)
{
return __lxstat (0, __path, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) fstat (int __fd, struct stat *__statbuf)
{
return __fxstat (0, __fd, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) fstatat (int __fd, const char *__filename, struct stat *__statbuf, int __flag)
{
return __fxstatat (0, __fd, __filename, __statbuf, __flag);
}
extern __inline int
__attribute__ ((__nothrow__ )) mknod (const char *__path, __mode_t __mode, __dev_t __dev)
{
return __xmknod (0, __path, __mode, &__dev);
}
extern __inline int
__attribute__ ((__nothrow__ )) mknodat (int __fd, const char *__path, __mode_t __mode, __dev_t __dev)
{
return __xmknodat (0, __fd, __path, __mode, &__dev);
}
extern __inline int
__attribute__ ((__nothrow__ )) stat64 (const char *__path, struct stat64 *__statbuf)
{
return __xstat64 (0, __path, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) lstat64 (const char *__path, struct stat64 *__statbuf)
{
return __lxstat64 (0, __path, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) fstat64 (int __fd, struct stat64 *__statbuf)
{
return __fxstat64 (0, __fd, __statbuf);
}
extern __inline int
__attribute__ ((__nothrow__ )) fstatat64 (int __fd, const char *__filename, struct stat64 *__statbuf, int __flag)
{
return __fxstatat64 (0, __fd, __filename, __statbuf, __flag);
}
extern int __stat (const char *__file, struct stat *__buf);
extern int __fstat (int __fd, struct stat *__buf);
extern int __lstat (const char *__file, struct stat *__buf);
extern int __chmod (const char *__file, __mode_t __mode);
extern int __fchmod (int __fd, __mode_t __mode);
extern __mode_t __umask (__mode_t __mask);
extern int __mkdir (const char *__path, __mode_t __mode);
extern int __mknod (const char *__path,
__mode_t __mode, __dev_t __dev);
extern __inline__ int __stat (const char *__path, struct stat *__statbuf)
{
return __xstat (0, __path, __statbuf);
}
extern __inline__ int __mknod (const char *__path, __mode_t __mode,
__dev_t __dev)
{
return __xmknod (0, __path, __mode, &__dev);
}
extern __typeof (strtol_l) __strtol_l;
extern __typeof (strtoul_l) __strtoul_l;
extern __typeof (strtoll_l) __strtoll_l;
extern __typeof (strtoull_l) __strtoull_l;
extern __typeof (strtod_l) __strtod_l;
extern __typeof (strtof_l) __strtof_l;
extern __typeof (strtold_l) __strtold_l;
extern __typeof (secure_getenv) __libc_secure_getenv;
extern __typeof (qsort_r) __qsort_r;
extern long int __random (void);
extern void __srandom (unsigned int __seed);
extern char *__initstate (unsigned int __seed, char *__statebuf,
size_t __statelen);
extern char *__setstate (char *__statebuf);
extern int __random_r (struct random_data *__buf, int32_t *__result);
extern int __srandom_r (unsigned int __seed, struct random_data *__buf);
extern int __initstate_r (unsigned int __seed, char *__statebuf,
size_t __statelen, struct random_data *__buf);
extern int __setstate_r (char *__statebuf, struct random_data *__buf);
extern int __rand_r (unsigned int *__seed);
extern int __erand48_r (unsigned short int __xsubi[3],
struct drand48_data *__buffer, double *__result);
extern int __nrand48_r (unsigned short int __xsubi[3],
struct drand48_data *__buffer,
long int *__result);
extern int __jrand48_r (unsigned short int __xsubi[3],
struct drand48_data *__buffer,
long int *__result);
extern int __srand48_r (long int __seedval,
struct drand48_data *__buffer);
extern int __seed48_r (unsigned short int __seed16v[3],
struct drand48_data *__buffer);
extern int __lcong48_r (unsigned short int __param[7],
struct drand48_data *__buffer);
extern int __drand48_iterate (unsigned short int __xsubi[3],
struct drand48_data *__buffer);
extern struct drand48_data __libc_drand48_data ;
extern int __setenv (const char *__name, const char *__value, int __replace);
extern int __unsetenv (const char *__name);
extern int __clearenv (void);
extern char *__mktemp (char *__template) __attribute__ ((__nothrow__ )) ;
extern char *__canonicalize_file_name (const char *__name);
extern char *__realpath (const char *__name, char *__resolved);
extern int __ptsname_r (int __fd, char *__buf, size_t __buflen);
extern int __ptsname_internal (int fd, char *buf, size_t buflen,
struct stat64 *stp);
extern int __getpt (void);
extern int __posix_openpt (int __oflag);
extern int __add_to_environ (const char *name, const char *value,
const char *combines, int replace);
extern void _quicksort (void *const pbase, size_t total_elems,
size_t size, __compar_d_fn_t cmp, void *arg);
extern int __on_exit (void (*__func) (int __status, void *__arg), void *__arg);
extern int __cxa_atexit (void (*func) (void *), void *arg, void *d);
;
extern int __cxa_thread_atexit_impl (void (*func) (void *), void *arg,
void *d);
extern void __call_tls_dtors (void)
__attribute__ ((weak))
;
extern void __cxa_finalize (void *d);
extern int __posix_memalign (void **memptr, size_t alignment, size_t size);
extern void *__libc_memalign (size_t alignment, size_t size)
__attribute__ ((__malloc__));
extern void *__libc_reallocarray (void *__ptr, size_t __nmemb, size_t __size)
__attribute__ ((__nothrow__ )) __attribute__ ((__warn_unused_result__));
extern int __libc_system (const char *line);
extern double __strtod_internal (const char *__restrict __nptr,
char **__restrict __endptr, int __group)
__attribute__ ((__nothrow__ )) ;
extern float __strtof_internal (const char *__restrict __nptr,
char **__restrict __endptr, int __group)
__attribute__ ((__nothrow__ )) ;
extern long double __strtold_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __group)
__attribute__ ((__nothrow__ )) ;
extern long int __strtol_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern unsigned long int __strtoul_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
__extension__
extern long long int __strtoll_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
__extension__
extern unsigned long long int __strtoull_internal (const char *
__restrict __nptr,
char **__restrict __endptr,
int __base, int __group)
__attribute__ ((__nothrow__ )) ;
extern double ____strtod_l_internal (const char *__restrict __nptr,
char **__restrict __endptr, int __group,
locale_t __loc);
extern float ____strtof_l_internal (const char *__restrict __nptr,
char **__restrict __endptr, int __group,
locale_t __loc);
extern long double ____strtold_l_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __group, locale_t __loc);
extern long int ____strtol_l_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group,
locale_t __loc);
extern unsigned long int ____strtoul_l_internal (const char *
__restrict __nptr,
char **__restrict __endptr,
int __base, int __group,
locale_t __loc);
__extension__
extern long long int ____strtoll_l_internal (const char *__restrict __nptr,
char **__restrict __endptr,
int __base, int __group,
locale_t __loc);
__extension__
extern unsigned long long int ____strtoull_l_internal (const char *
__restrict __nptr,
char **
__restrict __endptr,
int __base, int __group,
locale_t __loc);
extern float __strtof_nan (const char *, char **, char) ;
extern double __strtod_nan (const char *, char **, char) ;
extern long double __strtold_nan (const char *, char **, char)
;
extern float __wcstof_nan (const wchar_t *, wchar_t **, wchar_t)
;
extern double __wcstod_nan (const wchar_t *, wchar_t **, wchar_t)
;
extern long double __wcstold_nan (const wchar_t *, wchar_t **, wchar_t)
;
extern char *__ecvt (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign);
extern char *__fcvt (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign);
extern char *__gcvt (double __value, int __ndigit, char *__buf);
extern int __ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign, char *__restrict __buf,
size_t __len);
extern int __fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
int *__restrict __sign, char *__restrict __buf,
size_t __len);
extern char *__qecvt (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign);
extern char *__qfcvt (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign);
extern char *__qgcvt (long double __value, int __ndigit, char *__buf);
extern int __qecvt_r (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign,
char *__restrict __buf, size_t __len);
extern int __qfcvt_r (long double __value, int __ndigit,
int *__restrict __decpt, int *__restrict __sign,
char *__restrict __buf, size_t __len);
extern void *__default_morecore (ptrdiff_t) __attribute__ ((__nothrow__ ));
struct abort_msg_s
{
unsigned int size;
char msg[0];
};
extern struct abort_msg_s *__abort_msg;
struct _IO_FILE;
typedef struct _IO_FILE __FILE;
struct _IO_FILE;
typedef struct _IO_FILE FILE;
typedef struct
{
int __count;
union
{
unsigned int __wch;
char __wchb[4];
} __value;
} __mbstate_t;
typedef unsigned int wint_t;
typedef struct
{
__off_t __pos;
__mbstate_t __state;
} _G_fpos_t;
typedef struct
{
__off64_t __pos;
__mbstate_t __state;
} _G_fpos64_t;
enum
{
__GCONV_OK = 0,
__GCONV_NOCONV,
__GCONV_NODB,
__GCONV_NOMEM,
__GCONV_EMPTY_INPUT,
__GCONV_FULL_OUTPUT,
__GCONV_ILLEGAL_INPUT,
__GCONV_INCOMPLETE_INPUT,
__GCONV_ILLEGAL_DESCRIPTOR,
__GCONV_INTERNAL_ERROR
};
enum
{
__GCONV_IS_LAST = 0x0001,
__GCONV_IGNORE_ERRORS = 0x0002,
__GCONV_SWAP = 0x0004,
__GCONV_TRANSLIT = 0x0008
};
struct __gconv_step;
struct __gconv_step_data;
struct __gconv_loaded_object;
typedef int (*__gconv_fct) (struct __gconv_step *, struct __gconv_step_data *,
const unsigned char **, const unsigned char *,
unsigned char **, size_t *, int, int);
typedef wint_t (*__gconv_btowc_fct) (struct __gconv_step *, unsigned char);
typedef int (*__gconv_init_fct) (struct __gconv_step *);
typedef void (*__gconv_end_fct) (struct __gconv_step *);
struct __gconv_step
{
struct __gconv_loaded_object *__shlib_handle;
const char *__modname;
int __counter;
char *__from_name;
char *__to_name;
__gconv_fct __fct;
__gconv_btowc_fct __btowc_fct;
__gconv_init_fct __init_fct;
__gconv_end_fct __end_fct;
int __min_needed_from;
int __max_needed_from;
int __min_needed_to;
int __max_needed_to;
int __stateful;
void *__data;
};
struct __gconv_step_data
{
unsigned char *__outbuf;
unsigned char *__outbufend;
int __flags;
int __invocation_counter;
int __internal_use;
__mbstate_t *__statep;
__mbstate_t __state;
};
typedef struct __gconv_info
{
size_t __nsteps;
struct __gconv_step *__steps;
__extension__ struct __gconv_step_data __data[0];
} *__gconv_t;
extern int __gconv_transliterate (struct __gconv_step *step,
struct __gconv_step_data *step_data,
const unsigned char *inbufstart,
const unsigned char **inbufp,
const unsigned char *inbufend,
unsigned char **outbufstart,
size_t *irreversible);
typedef union
{
struct __gconv_info __cd;
struct
{
struct __gconv_info __cd;
struct __gconv_step_data __data;
} __combined;
} _G_iconv_t;
typedef __builtin_va_list __gnuc_va_list;
struct _IO_jump_t; struct _IO_FILE;
typedef void _IO_lock_t;
struct _IO_marker {
struct _IO_marker *_next;
struct _IO_FILE *_sbuf;
int _pos;
};
enum __codecvt_result
{
__codecvt_ok,
__codecvt_partial,
__codecvt_error,
__codecvt_noconv
};
struct _IO_codecvt
{
void (*__codecvt_destr) (struct _IO_codecvt *);
enum __codecvt_result (*__codecvt_do_out) (struct _IO_codecvt *,
__mbstate_t *,
const wchar_t *,
const wchar_t *,
const wchar_t **, char *,
char *, char **);
enum __codecvt_result (*__codecvt_do_unshift) (struct _IO_codecvt *,
__mbstate_t *, char *,
char *, char **);
enum __codecvt_result (*__codecvt_do_in) (struct _IO_codecvt *,
__mbstate_t *,
const char *, const char *,
const char **, wchar_t *,
wchar_t *, wchar_t **);
int (*__codecvt_do_encoding) (struct _IO_codecvt *);
int (*__codecvt_do_always_noconv) (struct _IO_codecvt *);
int (*__codecvt_do_length) (struct _IO_codecvt *, __mbstate_t *,
const char *, const char *, size_t);
int (*__codecvt_do_max_length) (struct _IO_codecvt *);
_G_iconv_t __cd_in;
_G_iconv_t __cd_out;
};
struct _IO_wide_data
{
wchar_t *_IO_read_ptr;
wchar_t *_IO_read_end;
wchar_t *_IO_read_base;
wchar_t *_IO_write_base;
wchar_t *_IO_write_ptr;
wchar_t *_IO_write_end;
wchar_t *_IO_buf_base;
wchar_t *_IO_buf_end;
wchar_t *_IO_save_base;
wchar_t *_IO_backup_base;
wchar_t *_IO_save_end;
__mbstate_t _IO_state;
__mbstate_t _IO_last_state;
struct _IO_codecvt _codecvt;
wchar_t _shortbuf[1];
const struct _IO_jump_t *_wide_vtable;
};
struct _IO_FILE {
int _flags;
char* _IO_read_ptr;
char* _IO_read_end;
char* _IO_read_base;
char* _IO_write_base;
char* _IO_write_ptr;
char* _IO_write_end;
char* _IO_buf_base;
char* _IO_buf_end;
char *_IO_save_base;
char *_IO_backup_base;
char *_IO_save_end;
struct _IO_marker *_markers;
struct _IO_FILE *_chain;
int _fileno;
int _flags2;
__off_t _old_offset;
unsigned short _cur_column;
signed char _vtable_offset;
char _shortbuf[1];
_IO_lock_t *_lock;
__off64_t _offset;
struct _IO_codecvt *_codecvt;
struct _IO_wide_data *_wide_data;
struct _IO_FILE *_freeres_list;
void *_freeres_buf;
size_t __pad5;
int _mode;
char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];
};
typedef struct _IO_FILE _IO_FILE;
struct _IO_FILE_plus;
extern struct _IO_FILE_plus _IO_2_1_stdin_;
extern struct _IO_FILE_plus _IO_2_1_stdout_;
extern struct _IO_FILE_plus _IO_2_1_stderr_;
extern _IO_FILE *_IO_stdin ;
extern _IO_FILE *_IO_stdout ;
extern _IO_FILE *_IO_stderr ;
typedef __ssize_t __io_read_fn (void *__cookie, char *__buf, size_t __nbytes);
typedef __ssize_t __io_write_fn (void *__cookie, const char *__buf,
size_t __n);
typedef int __io_seek_fn (void *__cookie, __off64_t *__pos, int __w);
typedef int __io_close_fn (void *__cookie);
typedef __io_read_fn cookie_read_function_t;
typedef __io_write_fn cookie_write_function_t;
typedef __io_seek_fn cookie_seek_function_t;
typedef __io_close_fn cookie_close_function_t;
typedef struct
{
__io_read_fn *read;
__io_write_fn *write;
__io_seek_fn *seek;
__io_close_fn *close;
} _IO_cookie_io_functions_t;
typedef _IO_cookie_io_functions_t cookie_io_functions_t;
struct _IO_cookie_file;
extern void _IO_cookie_init (struct _IO_cookie_file *__cfile, int __read_write,
void *__cookie, _IO_cookie_io_functions_t __fns);
extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);
extern wint_t __wunderflow (_IO_FILE *);
extern wint_t __wuflow (_IO_FILE *);
extern wint_t __woverflow (_IO_FILE *, wint_t);
extern int _IO_getc (_IO_FILE *__fp);
extern int _IO_putc (int __c, _IO_FILE *__fp);
extern int _IO_feof (_IO_FILE *__fp) __attribute__ ((__nothrow__ ));
extern int _IO_ferror (_IO_FILE *__fp) __attribute__ ((__nothrow__ ));
extern int _IO_peekc_locked (_IO_FILE *__fp);
extern void _IO_flockfile (_IO_FILE *) __attribute__ ((__nothrow__ ));
extern void _IO_funlockfile (_IO_FILE *) __attribute__ ((__nothrow__ ));
extern int _IO_ftrylockfile (_IO_FILE *) __attribute__ ((__nothrow__ ));
extern int _IO_vfscanf (_IO_FILE * __restrict, const char * __restrict,
__gnuc_va_list, int *__restrict);
extern int _IO_vfprintf (_IO_FILE *__restrict, const char *__restrict,
__gnuc_va_list);
extern __ssize_t _IO_padn (_IO_FILE *, int, __ssize_t);
extern size_t _IO_sgetn (_IO_FILE *, void *, size_t);
extern __off64_t _IO_seekoff (_IO_FILE *, __off64_t, int, int);
extern __off64_t _IO_seekpos (_IO_FILE *, __off64_t, int);
extern void _IO_free_backup_area (_IO_FILE *) __attribute__ ((__nothrow__ ));
extern wint_t _IO_getwc (_IO_FILE *__fp);
extern wint_t _IO_putwc (wchar_t __wc, _IO_FILE *__fp);
extern int _IO_fwide (_IO_FILE *__fp, int __mode) __attribute__ ((__nothrow__ ));
extern int _IO_vfwscanf (_IO_FILE * __restrict, const wchar_t * __restrict,
__gnuc_va_list, int *__restrict);
extern int _IO_vfwprintf (_IO_FILE *__restrict, const wchar_t *__restrict,
__gnuc_va_list);
extern __ssize_t _IO_wpadn (_IO_FILE *, wint_t, __ssize_t);
extern void _IO_free_wbackup_area (_IO_FILE *) __attribute__ ((__nothrow__ ));
typedef __gnuc_va_list va_list;
typedef _G_fpos_t fpos_t;
typedef _G_fpos64_t fpos64_t;
extern struct _IO_FILE *stdin;
extern struct _IO_FILE *stdout;
extern struct _IO_FILE *stderr;
extern int remove (const char *__filename) __attribute__ ((__nothrow__ ));
extern int rename (const char *__old, const char *__new) __attribute__ ((__nothrow__ ));
extern int renameat (int __oldfd, const char *__old, int __newfd,
const char *__new) __attribute__ ((__nothrow__ ));
extern FILE *tmpfile (void) ;
extern FILE *tmpfile64 (void) ;
extern char *tmpnam (char *__s) __attribute__ ((__nothrow__ )) ;
extern char *tmpnam_r (char *__s) __attribute__ ((__nothrow__ )) ;
extern char *tempnam (const char *__dir, const char *__pfx)
__attribute__ ((__nothrow__ )) __attribute__ ((__malloc__)) ;
extern int fclose (FILE *__stream);
extern int fflush (FILE *__stream);
extern int fflush_unlocked (FILE *__stream);
extern int fcloseall (void);
extern FILE *fopen (const char *__restrict __filename,
const char *__restrict __modes) ;
extern FILE *freopen (const char *__restrict __filename,
const char *__restrict __modes,
FILE *__restrict __stream) ;
extern FILE *fopen64 (const char *__restrict __filename,
const char *__restrict __modes) ;
extern FILE *freopen64 (const char *__restrict __filename,
const char *__restrict __modes,
FILE *__restrict __stream) ;
extern FILE *fdopen (int __fd, const char *__modes) __attribute__ ((__nothrow__ )) ;
extern FILE *fopencookie (void *__restrict __magic_cookie,
const char *__restrict __modes,
_IO_cookie_io_functions_t __io_funcs) __attribute__ ((__nothrow__ )) ;
extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
__attribute__ ((__nothrow__ )) ;
extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) __attribute__ ((__nothrow__ )) ;
extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) __attribute__ ((__nothrow__ ));
extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
int __modes, size_t __n) __attribute__ ((__nothrow__ ));
extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
size_t __size) __attribute__ ((__nothrow__ ));
extern void setlinebuf (FILE *__stream) __attribute__ ((__nothrow__ ));
extern int fprintf (FILE *__restrict __stream,
const char *__restrict __format, ...);
extern int printf (const char *__restrict __format, ...);
extern int sprintf (char *__restrict __s,
const char *__restrict __format, ...) __attribute__ ((__nothrow__));
extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
__gnuc_va_list __arg);
extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);
extern int vsprintf (char *__restrict __s, const char *__restrict __format,
__gnuc_va_list __arg) __attribute__ ((__nothrow__));
extern int snprintf (char *__restrict __s, size_t __maxlen,
const char *__restrict __format, ...)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int vsnprintf (char *__restrict __s, size_t __maxlen,
const char *__restrict __format, __gnuc_va_list __arg)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 0)));
extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
__gnuc_va_list __arg)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 0))) ;
extern int __asprintf (char **__restrict __ptr,
const char *__restrict __fmt, ...)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int asprintf (char **__restrict __ptr,
const char *__restrict __fmt, ...)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int vdprintf (int __fd, const char *__restrict __fmt,
__gnuc_va_list __arg)
__attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
__attribute__ ((__format__ (__printf__, 2, 3)));
extern int fscanf (FILE *__restrict __stream,
const char *__restrict __format, ...) ;
extern int scanf (const char *__restrict __format, ...) ;
extern int sscanf (const char *__restrict __s,
const char *__restrict __format, ...) __attribute__ ((__nothrow__ ));
extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
__gnuc_va_list __arg)
__attribute__ ((__format__ (__scanf__, 2, 0))) ;
extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
__attribute__ ((__format__ (__scanf__, 1, 0))) ;
extern int vsscanf (const char *__restrict __s,
const char *__restrict __format, __gnuc_va_list __arg)
__attribute__ ((__nothrow__ )) __attribute__ ((__format__ (__scanf__, 2, 0)));
extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);
extern int getchar (void);
extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
extern int fgetc_unlocked (FILE *__stream);
extern int fputc (int __c, FILE *__stream);
extern int putc (int __c, FILE *__stream);
extern int putchar (int __c);
extern int fputc_unlocked (int __c, FILE *__stream);
extern int putc_unlocked (int __c, FILE *__stream);
extern int putchar_unlocked (int __c);
extern int getw (FILE *__stream);
extern int putw (int __w, FILE *__stream);
extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
;
extern char *fgets_unlocked (char *__restrict __s, int __n,
FILE *__restrict __stream) ;
extern __ssize_t __getdelim (char **__restrict __lineptr,
size_t *__restrict __n, int __delimiter,
FILE *__restrict __stream) ;
extern __ssize_t getdelim (char **__restrict __lineptr,
size_t *__restrict __n, int __delimiter,
FILE *__restrict __stream) ;
extern __ssize_t getline (char **__restrict __lineptr,
size_t *__restrict __n,
FILE *__restrict __stream) ;
extern int fputs (const char *__restrict __s, FILE *__restrict __stream);
extern int puts (const char *__s);
extern int ungetc (int __c, FILE *__stream);
extern size_t fread (void *__restrict __ptr, size_t __size,
size_t __n, FILE *__restrict __stream) ;
extern size_t fwrite (const void *__restrict __ptr, size_t __size,
size_t __n, FILE *__restrict __s);
extern int fputs_unlocked (const char *__restrict __s,
FILE *__restrict __stream);
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
size_t __n, FILE *__restrict __stream) ;
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
size_t __n, FILE *__restrict __stream);
extern int fseek (FILE *__stream, long int __off, int __whence);
extern long int ftell (FILE *__stream) ;
extern void rewind (FILE *__stream);
extern int fseeko (FILE *__stream, __off_t __off, int __whence);
extern __off_t ftello (FILE *__stream) ;
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);
extern int fsetpos (FILE *__stream, const fpos_t *__pos);
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence);
extern __off64_t ftello64 (FILE *__stream) ;
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos);
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos);
extern void clearerr (FILE *__stream) __attribute__ ((__nothrow__ ));
extern int feof (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern int ferror (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern void clearerr_unlocked (FILE *__stream) __attribute__ ((__nothrow__ ));
extern int feof_unlocked (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern int ferror_unlocked (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern void perror (const char *__s);
extern int sys_nerr;
extern const char *const sys_errlist[];
extern int _sys_nerr;
extern const char *const _sys_errlist[];
extern int fileno (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern int fileno_unlocked (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern FILE *popen (const char *__command, const char *__modes) ;
extern int pclose (FILE *__stream);
extern char *ctermid (char *__s) __attribute__ ((__nothrow__ ));
extern char *cuserid (char *__s);
struct obstack;
extern int obstack_printf (struct obstack *__restrict __obstack,
const char *__restrict __format, ...)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
const char *__restrict __format,
__gnuc_va_list __args)
__attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 0)));
extern void flockfile (FILE *__stream) __attribute__ ((__nothrow__ ));
extern int ftrylockfile (FILE *__stream) __attribute__ ((__nothrow__ )) ;
extern void funlockfile (FILE *__stream) __attribute__ ((__nothrow__ ));
extern __inline int
vprintf (const char *__restrict __fmt, __gnuc_va_list __arg)
{
return vfprintf (stdout, __fmt, __arg);
}
extern __inline int
getchar (void)
{
return _IO_getc (stdin);
}
extern __inline int
fgetc_unlocked (FILE *__fp)
{
return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}
extern __inline int
getc_unlocked (FILE *__fp)
{
return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}
extern __inline int
getchar_unlocked (void)
{
return (__builtin_expect (((stdin)->_IO_read_ptr >= (stdin)->_IO_read_end), 0) ? __uflow (stdin) : *(unsigned char *) (stdin)->_IO_read_ptr++);
}
extern __inline int
putchar (int __c)
{
return _IO_putc (__c, stdout);
}
extern __inline int
fputc_unlocked (int __c, FILE *__stream)
{
return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}
extern __inline int
putc_unlocked (int __c, FILE *__stream)
{
return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}
extern __inline int
putchar_unlocked (int __c)
{
return (__builtin_expect (((stdout)->_IO_write_ptr >= (stdout)->_IO_write_end), 0) ? __overflow (stdout, (unsigned char) (__c)) : (unsigned char) (*(stdout)->_IO_write_ptr++ = (__c)));
}
extern __inline __ssize_t
getline (char **__lineptr, size_t *__n, FILE *__stream)
{
return __getdelim (__lineptr, __n, '\n', __stream);
}
extern __inline int
__attribute__ ((__nothrow__ )) feof_unlocked (FILE *__stream)
{
return (((__stream)->_flags & 0x10) != 0);
}
extern __inline int
__attribute__ ((__nothrow__ )) ferror_unlocked (FILE *__stream)
{
return (((__stream)->_flags & 0x20) != 0);
}
extern int __fcloseall (void);
extern int __snprintf (char *__restrict __s, size_t __maxlen,
const char *__restrict __format, ...)
__attribute__ ((__format__ (__printf__, 3, 4)));
extern int __vsnprintf (char *__restrict __s, size_t __maxlen,
const char *__restrict __format, __gnuc_va_list __arg)
__attribute__ ((__format__ (__printf__, 3, 0)));
extern int __vfscanf (FILE *__restrict __s,
const char *__restrict __format,
__gnuc_va_list __arg)
__attribute__ ((__format__ (__scanf__, 2, 0)));
extern int __vscanf (const char *__restrict __format,
__gnuc_va_list __arg)
__attribute__ ((__format__ (__scanf__, 1, 0)));
extern __ssize_t __getline (char **__lineptr, size_t *__n,
FILE *__stream);
extern int __vsscanf (const char *__restrict __s,
const char *__restrict __format,
__gnuc_va_list __arg)
__attribute__ ((__format__ (__scanf__, 2, 0)));
extern int __sprintf_chk (char *, int, size_t, const char *, ...) __attribute__ ((__nothrow__ ));
extern int __snprintf_chk (char *, size_t, int, size_t, const char *, ...)
__attribute__ ((__nothrow__ ));
extern int __vsprintf_chk (char *, int, size_t, const char *,
__gnuc_va_list) __attribute__ ((__nothrow__ ));
extern int __vsnprintf_chk (char *, size_t, int, size_t, const char *,
__gnuc_va_list) __attribute__ ((__nothrow__ ));
extern int __printf_chk (int, const char *, ...);
extern int __fprintf_chk (FILE *, int, const char *, ...);
extern int __vprintf_chk (int, const char *, __gnuc_va_list);
extern int __vfprintf_chk (FILE *, int, const char *, __gnuc_va_list);
extern char *__fgets_unlocked_chk (char *buf, size_t size, int n, FILE *fp);
extern char *__fgets_chk (char *buf, size_t size, int n, FILE *fp);
extern int __asprintf_chk (char **, int, const char *, ...) __attribute__ ((__nothrow__ ));
extern int __vasprintf_chk (char **, int, const char *, __gnuc_va_list) __attribute__ ((__nothrow__ ));
extern int __dprintf_chk (int, int, const char *, ...);
extern int __vdprintf_chk (int, int, const char *, __gnuc_va_list);
extern int __obstack_printf_chk (struct obstack *, int, const char *, ...)
__attribute__ ((__nothrow__ ));
extern int __obstack_vprintf_chk (struct obstack *, int, const char *,
__gnuc_va_list) __attribute__ ((__nothrow__ ));
extern int __isoc99_fscanf (FILE *__restrict __stream,
const char *__restrict __format, ...) ;
extern int __isoc99_scanf (const char *__restrict __format, ...) ;
extern int __isoc99_sscanf (const char *__restrict __s,
const char *__restrict __format, ...) __attribute__ ((__nothrow__ ));
extern int __isoc99_vfscanf (FILE *__restrict __s,
const char *__restrict __format,
__gnuc_va_list __arg) ;
extern int __isoc99_vscanf (const char *__restrict __format,
__gnuc_va_list __arg) ;
extern int __isoc99_vsscanf (const char *__restrict __s,
const char *__restrict __format,
__gnuc_va_list __arg) __attribute__ ((__nothrow__ ));
extern FILE *__new_tmpfile (void);
extern FILE *__old_tmpfile (void);
extern int __path_search (char *__tmpl, size_t __tmpl_len,
const char *__dir, const char *__pfx,
int __try_tempdir);
extern int __gen_tempname (char *__tmpl, int __suffixlen, int __flags,
int __kind);
enum __libc_message_action
{
do_message = 0,
do_abort = 1 << 0,
do_backtrace = 1 << 1
};
extern void __libc_fatal (const char *__message)
__attribute__ ((__noreturn__));
extern void __libc_message (enum __libc_message_action action,
const char *__fnt, ...);
extern void __fortify_fail (const char *msg)
__attribute__ ((__noreturn__)) ;
extern void __fortify_fail_abort (_Bool, const char *msg)
__attribute__ ((__noreturn__)) ;
extern void __flockfile (FILE *__stream);
extern void __funlockfile (FILE *__stream);
extern int __ftrylockfile (FILE *__stream);
extern int __getc_unlocked (FILE *__fp);
extern wint_t __getwc_unlocked (FILE *__fp);
extern int __fxprintf (FILE *__fp, const char *__fmt, ...)
__attribute__ ((__format__ (__printf__, 2, 3)));
extern int __fxprintf_nocancel (FILE *__fp, const char *__fmt, ...)
__attribute__ ((__format__ (__printf__, 2, 3)));
extern const char *const _sys_errlist_internal[] ;
extern int _sys_nerr_internal ;
extern __typeof (dprintf) __dprintf
__attribute__ ((__format__ (__printf__, 2, 3)));
extern __typeof (fileno) __fileno;
extern __typeof (ftello) __ftello;
extern __typeof (fflush_unlocked) __fflush_unlocked;
extern __typeof (fread_unlocked) __fread_unlocked;
extern __typeof (fgets_unlocked) __fgets_unlocked;
extern __typeof (fputs_unlocked) __fputs_unlocked;
extern FILE *__open_memstream (char **, size_t *) __attribute__ ((__nothrow__ )) ;
extern FILE * __fmemopen (void *buf, size_t len, const char *mode);
static const long double __expl_table [] = {
-3.47656250000000000584188889839535373E-01L,
6.90417668990715641167244540876988960E-32L,
-3.43749999999999981853132895957607418E-01L,
-7.16021898043268093462818380603370350E-33L,
-3.39843750000000013418643523138766329E-01L,
8.16920774283317801641347327589583265E-32L,
-3.35937500000000014998092453039303051E-01L,
-6.55865578425428447938248396879359670E-32L,
-3.32031250000000000981984049529998541E-01L,
6.91213046334032232108944519541512737E-32L,
-3.28124999999999986646017645350399708E-01L,
-6.16281060996110316602421505683742661E-32L,
-3.24218749999999991645717430645867963E-01L,
-7.90797211087760527593856542417304137E-32L,
-3.20312499999999998918211610690789652E-01L,
8.64024799457616856987630373786503376E-32L,
-3.16406249999999998153974811017181883E-01L,
-2.73176610180696076418536105483668404E-32L,
-3.12500000000000011420976192575972779E-01L,
7.16573502812389453744433792609989420E-32L,
-3.08593750000000001735496343854851414E-01L,
-1.56292999645122272621237565671593071E-32L,
-3.04687499999999982592401295899221626E-01L,
6.48993208584888904958594509625158417E-32L,
-3.00781249999999999230616898937763959E-01L,
6.57082437496961397305801409357792029E-32L,
-2.96874999999999998788769281703245722E-01L,
-3.26588297198283968096426564544269170E-32L,
-2.92968750000000015318089182805941695E-01L,
-1.73291974845198589684358727559290718E-32L,
-2.89062500000000007736778942676309681E-01L,
-6.83629745986675744404029225571026236E-32L,
-2.85156250000000001367091555763661937E-01L,
-5.44898442619766878281110054067026237E-32L,
-2.81249999999999986958718100227029406E-01L,
1.13007318374506125723591889451107046E-32L,
-2.77343750000000000356078829380495179E-01L,
-4.98979365468978332358409063436543102E-32L,
-2.73437499999999990276993957508540484E-01L,
-8.79390484115892344533724650295100871E-32L,
-2.69531250000000002434203866460082225E-01L,
9.44060754687026590886751809927191596E-32L,
-2.65624999999999997296320716986257179E-01L,
2.07142664067265697791007875348396921E-32L,
-2.61718750000000010237478733739017956E-01L,
-6.10552936159265665298996309192680256E-32L,
-2.57812500000000011948220522778370303E-01L,
6.72477169058908902499239631466443836E-32L,
-2.53906249999999991822993360536596860E-01L,
-2.44868296623215865054704392917190994E-32L,
-2.49999999999999986862019457428548084E-01L,
-3.85302898949105073614122724961613078E-32L,
-2.46093750000000000237554160737318435E-01L,
-1.52823675242678363494345369284988589E-32L,
-2.42187500000000003023380963205457065E-01L,
-7.78402037952209709489481182714311699E-34L,
-2.38281249999999995309623303145485725E-01L,
-3.54307216794236899443913216397197696E-32L,
-2.34374999999999998425804947623207526E-01L,
-2.86038428948386602859761879407549696E-32L,
-2.30468749999999993822207406785200832E-01L,
-2.54339521031747516806893838749365762E-32L,
-2.26562499999999997823524030344489884E-01L,
4.31904611473158635644635628922959401E-32L,
-2.22656250000000004835132405125162742E-01L,
2.54709791629335691650310168420597566E-33L,
-2.18749999999999988969454021829236626E-01L,
-3.77236096429336082213752014054909454E-32L,
-2.14843750000000010613256919115758495E-01L,
-4.55194148712216691177097854305964738E-32L,
-2.10937499999999993204656148110447201E-01L,
-2.95044199165561453749332254271716417E-32L,
-2.07031250000000012233944895423355677E-01L,
1.93146788688385419095981415411012357E-32L,
-2.03125000000000008030983633336321863E-01L,
2.37361904671826193563212931215900137E-32L,
-1.99218750000000001763815712796132779E-01L,
-3.63171243370923753295192486732883239E-33L,
-1.95312500000000004883660234506677272E-01L,
-3.19989507343607877747980892249711601E-33L,
-1.91406250000000013720152363227519348E-01L,
-1.89295754093147174148371614722178860E-32L,
-1.87500000000000000182342082774432620E-01L,
-2.96812835183184815200854214892983927E-32L,
-1.83593750000000012410147185883290345E-01L,
-2.02191931237489669058466239995304587E-32L,
-1.79687499999999997439177363346082917E-01L,
-9.92752326937775530007399526834009465E-33L,
-1.75781249999999995824373974504785174E-01L,
1.44184772065335613487885714828816178E-32L,
-1.71874999999999986685050259043077809E-01L,
-3.49007014971241147689894940544402482E-32L,
-1.67968749999999997316058782350439701E-01L,
3.34025733574205019081305778794376391E-32L,
-1.64062499999999993322730602128318480E-01L,
-1.83345916769684984022099095506340635E-32L,
-1.60156249999999992419000744447607979E-01L,
2.73442789798110494773517431626534726E-32L,
-1.56249999999999987665010524130393080E-01L,
2.02695576464836145806428118889332191E-32L,
-1.52343749999999989905291167951491803E-01L,
-3.61436631548815190395331054871041524E-32L,
-1.48437500000000006686107754967759751E-01L,
-2.15524270159131591469319477922198390E-32L,
-1.44531250000000005132889939177166485E-01L,
2.74741116529653547935086189244019604E-32L,
-1.40625000000000000707469094533647325E-01L,
4.40607097220049957013547629906723266E-33L,
-1.36718749999999995713752139187543306E-01L,
-3.73751317180116492404578048203389108E-32L,
-1.32812500000000007198453630478482191E-01L,
-3.97050085179660203884930593717220728E-32L,
-1.28906250000000006070486371645733082E-01L,
3.59610068058504988294019521946586131E-32L,
-1.25000000000000003700729208608337966E-01L,
3.23464851393124362331846965931995969E-33L,
-1.21093750000000013729038501177102555E-01L,
2.45242487730722066611358741283977619E-32L,
-1.17187499999999999765305306880205578E-01L,
-1.14557520298960389903199646350205537E-32L,
-1.13281250000000009579647893740755690E-01L,
2.37873962873837390105423621772752350E-32L,
-1.09375000000000008981153004560108539E-01L,
1.53152444860014076105003555837231015E-32L,
-1.05468749999999992399063850363228723E-01L,
-8.75920903597804862471749360196688834E-33L,
-1.01562500000000007685885179918350550E-01L,
-4.63820993797174451904075397785059501E-33L,
-9.76562499999999887262211517861331814E-02L,
-2.63767025974952608658936466715705903E-33L,
-9.37499999999999939650246024457439795E-02L,
-1.72047822349322956713582039121348377E-32L,
-8.98437500000000033088896383977486369E-02L,
3.04831994420989436248526129869697270E-33L,
-8.59374999999999947312400115121319225E-02L,
1.50416954438393392150792422537312281E-32L,
-8.20312500000000054182280847004695514E-02L,
2.68399664523430004488075638997207289E-33L,
-7.81250000000000114767533968079748798E-02L,
1.72318124201659121296305402819694281E-32L,
-7.42187500000000035531829472486812869E-02L,
2.09401756478514117051383998628099655E-32L,
-7.03124999999999987474933134860732535E-02L,
2.28515798224350800271565551341211666E-32L,
-6.64062500000000042267533361089054159E-02L,
1.97576478800281368377376002585430031E-32L,
-6.25000000000000066329769382774201686E-02L,
-1.46422615813786836245343723048221678E-33L,
-5.85937500000000002823707957982406053E-02L,
9.25637741701318872896718218457555829E-33L,
-5.46875000000000081586888005226044448E-02L,
-4.87144542459404765480424673678105050E-33L,
-5.07812499999999927720348253140567013E-02L,
-3.01901021987395945826043649523451725E-33L,
-4.68749999999999935349476738962633103E-02L,
1.21521638219189777347767475937119750E-32L,
-4.29687500000000056305562847814228219E-02L,
-1.18643699217679276275559592978275214E-32L,
-3.90624999999999962692914526031373542E-02L,
-4.91277156857520035712509544689973679E-33L,
-3.51562500000000108152468207687602886E-02L,
1.18599806302656253755207072755609820E-32L,
-3.12500000000000077376981036742289578E-02L,
9.97730386477005171963635210799577079E-33L,
-2.73437500000000139436129596418623235E-02L,
2.25755321633070123579875157841633859E-33L,
-2.34375000000000088003629211828324876E-02L,
2.84374279216848803102126617873942975E-33L,
-1.95312500000000107408831063404855424E-02L,
2.47348089686935458989103979140011912E-33L,
-1.56250000000000081443917555362290635E-02L,
-2.43379314483517422161458863218426254E-33L,
-1.17187500000000051490597418161403184E-02L,
1.83405297208145390679150568810924707E-33L,
-7.81249999999999715861805208310174953E-03L,
3.51548384878710915171654413641872451E-34L,
-3.90625000000000309326013918295097128E-03L,
6.38058004651791109324060099097251911E-36L,
0.00000000000000000000000000000000000E+00L,
0.00000000000000000000000000000000000E+00L,
3.90625000000000245479958859972588985E-03L,
-6.58439598384342854976169982902779828E-36L,
7.81250000000001311374391093664996358E-03L,
2.60265650555493781464273319671555602E-33L,
1.17187500000000269581156218247101912E-02L,
1.00961747974945520631836275894919326E-33L,
1.56249999999999797878275270751825475E-02L,
2.03174577741375590087897353146748580E-33L,
1.95312499999999760319884511789111533E-02L,
4.62788519658803722282100289809515007E-33L,
2.34374999999999822953909016349145918E-02L,
-3.19499956304699705390404384504876533E-33L,
2.73437500000000137220327275871555682E-02L,
-2.25757776523031994464630107442723424E-33L,
3.12499999999999790857640618332718621E-02L,
-4.22479470489989916319395454536511458E-33L,
3.51562499999999840753382405747597346E-02L,
1.08459658374118041980976756063083500E-34L,
3.90624999999999989384433621470426757E-02L,
-7.41674226146122000759491297811091830E-33L,
4.29687500000000107505739500500200462E-02L,
-4.74689012756713017494437969420919847E-34L,
4.68749999999999978700749928325717352E-02L,
-1.06208165308448830117773486334902917E-32L,
5.07812499999999815072625435955786253E-02L,
-9.37038897148383660401929567549111394E-33L,
5.46874999999999809511553152189867394E-02L,
1.06642963074562437340498606682822123E-32L,
5.85937500000000184331996330905145551E-02L,
-1.76639977694797200820296641773791945E-34L,
6.25000000000000021544696744852045001E-02L,
1.68616371995798354366633034788947149E-32L,
6.64062499999999965563110718495802889E-02L,
-1.82463217667830160048872113565316215E-32L,
7.03124999999999759989183341261898222E-02L,
-1.07843770101525495515646940862541503E-32L,
7.42187499999999898968873730710101412E-02L,
1.28629441689592874462780757154138223E-32L,
7.81249999999999957198938523510804668E-02L,
1.13297573459968118467100063135856856E-33L,
8.20312500000000199911640621145851159E-02L,
-1.51161335208135146756554123073528707E-32L,
8.59375000000000134175373433347670743E-02L,
1.09763629458404270323909815379924900E-32L,
8.98437500000000036533922600308306335E-02L,
3.11459653680110433194288029777718358E-33L,
9.37500000000000184977946245216914691E-02L,
-4.66656154468277949130395786965043927E-33L,
9.76562500000000237839723100419376084E-02L,
-1.03028043424658760249140747856831301E-32L,
1.01562500000000012345545575236836572E-01L,
2.15755372310795701322789783729456319E-32L,
1.05468749999999976493840484471911438E-01L,
1.78771847038773333029677216592309083E-32L,
1.09375000000000002267015055992785402E-01L,
6.23263106693943817730045115112427717E-33L,
1.13281250000000022354208618429577398E-01L,
5.40514416644786448581426756221178868E-33L,
1.17187500000000013252367133076817603E-01L,
-7.12412585457324989451327215568641325E-33L,
1.21093750000000020759863992944300792E-01L,
6.26591408357572503875647872077266444E-33L,
1.25000000000000004739659392396765618E-01L,
-1.55611398459729463981000080101758830E-32L,
1.28906249999999982360888081057894783E-01L,
-1.77531518652835570781208599686606474E-32L,
1.32812500000000010568583998727400436E-01L,
2.12104021624990594668286391598300893E-32L,
1.36718749999999998434125157367005292E-01L,
2.50454798592543203967309921276955297E-32L,
1.40625000000000015550032422969330356E-01L,
7.80972982879849783680252962992639832E-33L,
1.44531250000000012402535562111122522E-01L,
2.79662468716455159585514763921671876E-32L,
1.48437500000000007761020440087419948E-01L,
2.15518492972728435680556239996258527E-32L,
1.52343750000000001733189947520484032E-01L,
8.34032236093545825619420380704500188E-33L,
1.56249999999999988073295321246958484E-01L,
2.44119337150624789345260194989620908E-32L,
1.60156250000000002076894210913572460E-01L,
-7.36124501128859978061216696286151753E-33L,
1.64062500000000000950861276373482172E-01L,
-4.80566184447001164583855800470217373E-33L,
1.67968749999999989878071706155265999E-01L,
-4.42154428718618459799673088733365064E-32L,
1.71874999999999999459734108403218175E-01L,
-3.29736288190321377985697972236270628E-32L,
1.75781249999999997987525759778901845E-01L,
-1.28800728638468399687523924685844352E-32L,
1.79687500000000004929565820437175783E-01L,
1.60624461317978482424582320675174225E-32L,
1.83593750000000016873727045739708856E-01L,
-3.83390389582056606880506003118452558E-32L,
1.87500000000000013443068740761666872E-01L,
-2.74141662712926256150154726565203091E-32L,
1.91406249999999981494101786848611970E-01L,
3.68992437075565165346469517256118001E-32L,
1.95312499999999989069921848800501648E-01L,
3.69712249337856518452988332367785220E-32L,
1.99218750000000021148042946919300804E-01L,
2.50142536781142175091322844848566649E-32L,
2.03124999999999977732559198825437141E-01L,
-2.41951877287895024779300892731537816E-32L,
2.07031249999999996744030653771913124E-01L,
-1.94346475904454000031592792989765585E-32L,
2.10937500000000000251399259834392298E-01L,
-1.33528748788094249098998693871759411E-33L,
2.14843749999999993936323609611875097E-01L,
1.14839877977014974625242788556545292E-32L,
2.18750000000000015181732784749663837E-01L,
1.42689085313142539755499441881408391E-32L,
2.22656249999999992172647770539596569E-01L,
-3.34421462850496887359128610229650547E-32L,
2.26562499999999989595607223847082419E-01L,
-3.08983588107248752517344356508205569E-32L,
2.30468749999999979130462438434567117E-01L,
-3.01407539802851697849105682795217019E-32L,
2.34375000000000012194252337217891971E-01L,
-8.46879710915628592284714319904522657E-33L,
2.38281249999999982991877076137149870E-01L,
-2.93563878880439245627127095245798544E-32L,
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7.75764526561826289752232810315035749E-01L,
7.78800783071404878477039801509818062E-01L,
7.81848923152964780936002853195532225E-01L,
7.84908993317491698871180005880887620E-01L,
7.87981040258010162480317717381694820E-01L,
7.91065110850296016042904057030682452E-01L,
7.94161252153591734614934694036492147E-01L,
7.97269511411324433014513601847284008E-01L,
8.00389936051826789142893403550260700E-01L,
8.03522573689060742863077280162542593E-01L,
8.06667472123343942680406826184480451E-01L,
8.09824679342079301047618855591281317E-01L,
8.12994243520486992160556383169023320E-01L,
8.16176213022339780422953481320291758E-01L,
8.19370636400700819157449927843117621E-01L,
8.22577562398664585696650419777142815E-01L,
8.25797039950100647542896581398963463E-01L,
8.29029118180400342863478613253391813E-01L,
8.32273846407226292054559735333896242E-01L,
8.35531274141265073440720811959181447E-01L,
8.38801451086982535754188461396552157E-01L,
8.42084427143382358016410194068157580E-01L,
8.45380252404767357221615498019673396E-01L,
8.48688977161503960155997106085123960E-01L,
8.52010651900789478530029441571969073E-01L,
8.55345327307422548246407245642330963E-01L,
8.58693054264576483003423845730139874E-01L,
8.62053883854575708767242758767679334E-01L,
8.65427867359675251357487013592617586E-01L,
8.68815056262843166123843730019871145E-01L,
8.72215502248546159513864495238522068E-01L,
8.75629257203538208242932228131394368E-01L,
8.79056373217652342599848225290770642E-01L,
8.82496902584595399599010079327854328E-01L,
8.85950897802745995779361010136199184E-01L,
8.89418411575955636383383762222365476E-01L,
8.92899496814352794382685374330321793E-01L,
8.96394206635150403439382671422208659E-01L,
8.99902594363456265202927397695020773E-01L,
9.03424713533086704009278378180169966E-01L,
9.06960617887383580004723171441582963E-01L,
9.10510361380034133338412516422977205E-01L,
9.14073998175894436579724811053893063E-01L,
9.17651582651815816982221463149471674E-01L,
9.21243169397474526149949269893113524E-01L,
9.24848813216204823639543519675498828E-01L,
9.28468569125835141431224428743007593E-01L,
9.32102492359527579068867453315760940E-01L,
9.35750638366620729469147477175283711E-01L,
9.39413062813475779888605643463961314E-01L,
9.43089821584325888048638830696290825E-01L,
9.46780970782128888929563004239753354E-01L,
9.50486566729423443256052905780961737E-01L,
9.54206665969188322362626308859034907E-01L,
9.57941325265705301283958306157728657E-01L,
9.61690601605425299247542625380447134E-01L,
9.65454552197837823079851204965962097E-01L,
9.69233234476344074348475032820715569E-01L,
9.73026706099133165128733935489435680E-01L,
9.76835024950062025261843245971249416E-01L,
9.80658249139538557015427500118676107E-01L,
9.84496437005408397968864164795377292E-01L,
9.88349647113845042323276857132441364E-01L,
9.92217938260243514925207364285597578E-01L,
9.96101369470117486981664001177705359E-01L,
1.00000000000000000000000000000000000E+00L,
1.00391388933834757590801700644078664E+00L,
1.00784309720644799091004983893071767E+00L,
1.01178768355933151879000320150225889E+00L,
1.01574770858668572692806719715008512E+00L,
1.01972323271377413034244341361045372E+00L,
1.02371431660235789884438872832106426E+00L,
1.02772102115162167201845022646011785E+00L,
1.03174340749910264936062276319717057E+00L,
1.03578153702162378824169763902318664E+00L,
1.03983547133622999947277776300325058E+00L,
1.04390527230112850620713516036630608E+00L,
1.04799100201663270004459604933799710E+00L,
1.05209272282610977189420964350574650E+00L,
1.05621049731693195106174698594259098E+00L,
1.06034438832143151909548350886325352E+00L,
1.06449445891785943185681162503897212E+00L,
1.06866077243134810492719566354935523E+00L,
1.07284339243487741866189821848820429E+00L,
1.07704238275024494209120007326419000E+00L,
1.08125780744903959851299646288680378E+00L,
1.08548973085361949442173568058933597E+00L,
1.08973821753809324563988525369495619E+00L,
1.09400333232930546678574046381982043E+00L,
1.09828514030782586896606289883493446E+00L,
1.10258370680894224324930519287590869E+00L,
1.10689909742365749645287564817408565E+00L,
1.11123137799969046168868658241990488E+00L,
1.11558061464248076122274255794764031E+00L,
1.11994687371619722204840741142106708E+00L,
1.12433022184475073235176978414529003E+00L,
1.12873072591281087273529237791080959E+00L,
1.13314845306682632219974493636982515E+00L,
1.13758347071604959399593326452304609E+00L,
1.14203584653356560174586320499656722E+00L,
1.14650564845732405583333957110880874E+00L,
1.15099294469117646722011727433709893E+00L,
1.15549780370591653744227755851170514E+00L,
1.16002029424032515603215642840950750E+00L,
1.16456048530221917269855680387991015E+00L,
1.16911844616950438835445424956560601E+00L,
1.17369424639123270948104504896036815E+00L,
1.17828795578866324378353169777255971E+00L,
1.18289964445632783673900689791480545E+00L,
1.18752938276310060494722620205720887E+00L,
1.19217724135327157730657177125976887E+00L,
1.19684329114762477708211463323095813E+00L,
1.20152760334452030077656559114984702E+00L,
1.20623024942098072687102217059873510E+00L,
1.21095130113378179892436037334846333E+00L,
1.21569083052054743854242246925423387E+00L,
1.22044890990084875515009343871497549E+00L,
1.22522561187730755216662714701669756E+00L,
1.23002100933670455162882717559114099E+00L,
1.23483517545109100499445276000187732E+00L,
1.23966818367890557750499169742397498E+00L,
1.24452010776609517384017067342938390E+00L,
1.24939102174724003813111039562500082E+00L,
1.25428099994668373895478907797951251E+00L,
1.25919011697966698459794088194030337E+00L,
1.26411844775346637881341393949696794E+00L,
1.26906606746853711786826579555054195E+00L,
1.27403305161966090564007458851847332E+00L,
1.27901947599709753244923149395617656E+00L,
1.28402541668774150540599521264084615E+00L,
1.28905095007628295311619126550795045E+00L,
1.29409615284637330434591717676084954E+00L,
1.29916110198179535206719492634874769E+00L,
1.30424587476763775839572190307080746E+00L,
1.30935054879147461104338390214252286E+00L,
1.31447520194454914310711046709911898E+00L,
1.31961991242296217130558488861424848E+00L,
1.32478475872886558573071624778094701E+00L,
1.32996981967165983640200010995613411E+00L,
1.33517517436919680440254865061433520E+00L,
1.34040090224898678084031189428060316E+00L,
1.34564708304941055283521222918352578E+00L,
1.35091379682093615244298234756570309E+00L,
1.35620112392734021300455538039386738E+00L,
1.36150914504693443252136830778908916E+00L,
1.36683794117379636690046140756749082E+00L,
1.37218759361900544124779344201670028E+00L,
1.37755818401188367960941150158760138E+00L,
1.38294979430124120867162673675920814E+00L,
1.38836250675662681297595213436579797E+00L,
1.39379640396958309755959248832368758E+00L,
1.39925156885490681313299887733592186E+00L,
1.40472808465191417726103395580139477E+00L,
1.41022603492571069194738697660795879E+00L,
1.41574550356846662335641440222389065E+00L,
9.98018323540573404351050612604012713E-01L,
9.98048781107475468932221929208026268E-01L,
9.98079239603882895082165305211674422E-01L,
9.98109699029824021243584297735651489E-01L,
9.98140159385327269125909310787392315E-01L,
9.98170620670420977171843901487591211E-01L,
9.98201082885133511579667242585856002E-01L,
9.98231546029493238547658506831794512E-01L,
9.98262010103528552029672482603928074E-01L,
9.98292475107267818223988342651864514E-01L,
9.98322941040739375573309644096298143E-01L,
9.98353407903971645787066790944663808E-01L,
9.98383875696992967307963340317655820E-01L,
9.98414344419831761845429696222709026E-01L,
9.98444814072516340086593800151604228E-01L,
9.98475284655075123740886056111776270E-01L,
9.98505756167536479006585636852832977E-01L,
9.98536228609928799837547330753295682E-01L,
9.98566701982280452432050310562772211E-01L,
9.98597176284619802988373749030870385E-01L,
9.98627651516975245460372434536111541E-01L,
9.98658127679375173801901155457017012E-01L,
9.98688604771847954211239084543194622E-01L,
9.98719082794421980642241010173165705E-01L,
9.98749561747125619293186105096538085E-01L,
9.98780041629987291873504773320746608E-01L,
9.98810522443035364581476187595399097E-01L,
9.98841004186298203615379520670103375E-01L,
9.98871486859804230684645176552294288E-01L,
9.98901970463581839743127943620493170E-01L,
9.98932454997659369233531378995394334E-01L,
9.98962940462065268620861502313346136E-01L,
9.98993426856827904103397486323956400E-01L,
9.99023914181975669634994119405746460E-01L,
9.99054402437536959169506189937237650E-01L,
9.99084891623540138905212870668037795E-01L,
9.99115381740013658307120181234495249E-01L,
9.99145872786985911329082910015131347E-01L,
9.99176364764485236413804614130640402E-01L,
9.99206857672540083026291313217370771E-01L,
9.99237351511178817364822180024930276E-01L,
9.99267846280429861138827618560753763E-01L,
9.99298341980321608302162417203362565E-01L,
9.99328838610882452808681364331278019E-01L,
9.99359336172140816367814863951934967E-01L,
9.99389834664125092933417704443854745E-01L,
9.99420334086863676459344674185558688E-01L,
9.99450834440384988655026177184481639E-01L,
9.99481335724717395718741386190231424E-01L,
9.99511837939889374871071936468069907E-01L,
9.99542341085929264554721385138691403E-01L,
9.99572845162865514234695751838444266E-01L,
9.99603350170726517864849824945849832E-01L,
9.99633856109540669399038392839429434E-01L,
9.99664362979336418302267475155531429E-01L,
9.99694870780142130772816244643763639E-01L,
9.99725379511986284031266336569387931E-01L,
9.99755889174897216520321308053098619E-01L,
9.99786399768903377704987178731244057E-01L,
9.99816911294033217050269968240172602E-01L,
9.99847423750315072998873233700578567E-01L,
9.99877937137777450526954226006637327E-01L,
9.99908451456448688077216502279043198E-01L,
9.99938966706357262870241697783058044E-01L,
9.99969482887531541104308985268289689E-01L,
1.00000000000000000000000000000000000E+00L,
1.00003051804379100575559391472779680E+00L,
1.00006103701893306334724798034585547E+00L,
1.00009155692545448346209013834595680E+00L,
1.00012207776338379883185325525118969E+00L,
1.00015259953274932014366527255333494E+00L,
1.00018312223357958012925905677548144E+00L,
1.00021364586590294498691378066723701E+00L,
1.00024417042974783642605984823603649E+00L,
1.00027469592514273166727889474714175E+00L,
1.00030522235211605242000132420798764E+00L,
1.00033574971069616488250630936818197E+00L,
1.00036627800091160178652671675081365E+00L,
1.00039680722279067381919048784766346E+00L,
1.00042733737636191371223048918182030E+00L,
1.00045786846165368766392589350289200E+00L,
1.00048840047869447289485833607614040E+00L,
1.00051893342751269111445822090900037E+00L,
1.00054946730813676403215595200890675E+00L,
1.00058000212059516886853316464112140E+00L,
1.00061053786491632733302026281307917E+00L,
1.00064107454112866113504765053221490E+00L,
1.00067161214926059198404573180596344E+00L,
1.00070215068934059710059614189958666E+00L,
1.00073269016139709819412928482051939E+00L,
1.00076323056545857248522679583402351E+00L,
1.00079377190155338617216784768970683E+00L,
1.00082431416971007198668530691065826E+00L,
1.00085485736995705163820957750431262E+00L,
1.00088540150232269132501983222027775E+00L,
1.00091594656683552377884893758164253E+00L,
1.00094649256352402622027852885366883E+00L,
1.00097703949241650933643654752813745E+00L,
1.00100758735354156137020709138596430E+00L,
1.00103813614692760403102056443458423E+00L,
1.00106868587260300351715613942360505E+00L,
1.00109923653059629256034668287611566E+00L,
1.00112978812093589287002259879955091E+00L,
1.00116034064365022615561429120134562E+00L,
1.00119089409876788066000585786241572E+00L,
1.00122144848631711155917400901671499E+00L,
1.00125200380632656260715407370298635E+00L,
1.00128256005882454449107399341301061E+00L,
1.00131311724383964545381786592770368E+00L,
1.00134367536140017618251363273884635E+00L,
1.00137423441153472492004539162735455E+00L,
1.00140479439427171337584354660066310E+00L,
1.00143535530963956325933850166620687E+00L,
1.00146591715766680730226312334707472E+00L,
1.00149647993838186721404781565070152E+00L,
1.00152704365181316470412298258452211E+00L,
1.00155760829798923250422149067162536E+00L,
1.00158817387693849232377374391944613E+00L,
1.00161874038868942138336137759324629E+00L,
1.00164930783327055241471725821611471E+00L,
1.00167987621071025161612055853765924E+00L,
1.00171044552103705171930414508096874E+00L,
1.00174101576427937443369842185347807E+00L,
1.00177158694046569697988502412044909E+00L,
1.00180215904962455208959681840497069E+00L,
1.00183273209178441698341543997230474E+00L,
1.00186330606697365785962006157205906E+00L,
1.00189388097522080744994354972732253E+00L,
1.00192445681655439848611877096118405E+00L,
1.00195503359100279716642489802325144E+00L,
1.00198561129859459173374602869444061E+00L,
};
static const long double C[] = {
11356.523406294143949491931077970765L,
-11433.4627433362978788372438434526231L,
59421121885698253195157962752.0L,
30423614405477505635920876929024.0L,
7788445287802241442795744493830144.0L,
1.44269504088896340735992468100189204L,
0.693147180559945309417232121457981864L,
-1.94704509238074995158795957333327386E-31L,
1.0e-4900L,
5.94865747678615882542879663314003565E+4931L,
256,
32768,
0.5L,
1.66666666666666666666666666666666683E-01L,
4.16666666666666666666654902320001674E-02L,
8.33333333333333333333314659767198461E-03L,
1.38888888889899438565058018857254025E-03L,
1.98412698413981650382436541785404286E-04L,
};
long double
my_expl (long double x)
{
fprintf(stderr,"In expl\n");
if (__builtin_isless(x, C[0]) && __builtin_isgreater(x, C[1]))
{
int tval1, tval2, unsafe, n_i;
long double x22, n, t, result, xl;
union ieee854_long_double ex2_u, scale_u;
fenv_t oldenv;
feholdexcept (&oldenv);
fesetround (0x000000);
n = x * C[5] + C[4];
n -= C[4];
x = x - n * C[6];
xl = n * C[7];
t = x + C[3];
t -= C[3];
tval1 = (int) (t * C[10]);
x -= __expl_table[(2*89)+2*tval1];
xl -= __expl_table[(2*89)+2*tval1+1];
t = x + C[2];
t -= C[2];
tval2 = (int) (t * C[11]);
x -= __expl_table[(2*(2*89) + 2 + 2*65)+2*tval2];
xl -= __expl_table[(2*(2*89) + 2 + 2*65)+2*tval2+1];
x = x + xl;
ex2_u.d = __expl_table[((2*(2*89) + 2 + 2*65) + 2 + 2*65 + 89) + tval1]
* __expl_table[(((2*(2*89) + 2 + 2*65) + 2 + 2*65 + 89) + 1 + 89 + 65) + tval2];
n_i = (int)n;
unsafe = abs(n_i) >= 15000;
ex2_u.ieee.exponent += n_i >> unsafe;
scale_u.d = 1;
scale_u.ieee.exponent += n_i - (n_i >> unsafe);
x22 = x + x*x*(C[12]+x*(C[13]+x*(C[14]+x*(C[15]+x*(C[16]+x*C[17])))));
fesetenv (&oldenv);
result = x22 * ex2_u.d + ex2_u.d;
if (!unsafe)
{
fprintf (stderr,"(2) lrint FE_UNDERFLOW is %s\n", fetestexcept(8) ? "TRUE" : "FALSE");
return result;
}
else
{
result *= scale_u.d;
do { __typeof (result) force_underflow_tmp = (result); if (force_underflow_tmp < __builtin_choose_expr (__builtin_types_compatible_p (__typeof (force_underflow_tmp), float), 1.17549435082228750796873653722224568e-38F, __builtin_choose_expr (__builtin_types_compatible_p (__typeof (force_underflow_tmp), double), ((double)2.22507385850720138309023271733240406e-308L), 3.36210314311209350626267781732175260e-4932L))) { __typeof (force_underflow_tmp) force_underflow_tmp2 = force_underflow_tmp * force_underflow_tmp; ({ __typeof (force_underflow_tmp2) __x = (force_underflow_tmp2); __asm __volatile__ ("" : : "w" (__x)); }); } } while (0);
fprintf (stderr,"(3) lrint FE_UNDERFLOW is %s\n", fetestexcept(8) ? "TRUE" : "FALSE");
return result;
}
}
else if (__builtin_isless(x, C[0]))
{
if (__builtin_isinf_sign (x))
{
fprintf (stderr,"(5) lrint FE_UNDERFLOW is %s\n", fetestexcept(8) ? "TRUE" : "FALSE");
return 0;
}
else
{
fprintf (stderr,"(6) lrint FE_UNDERFLOW is %s\n", fetestexcept(8) ? "TRUE" : "FALSE");
return C[8] * C[8];
}
}
else
{
fprintf (stderr,"(9) lrint FE_UNDERFLOW is %s\n", fetestexcept(8) ? "TRUE" : "FALSE");
return C[9]*x;
}
}
int main()
{
long double y;
long double x = -0x1p-10000L;
y = my_expl (x);
if (fetestexcept(FE_INEXACT)) printf ("lrint raised FE_INEXACT\n");
if (fetestexcept(FE_INVALID)) printf ("lrint raised FE_INVALID\n");
if (fetestexcept(FE_OVERFLOW)) printf ("lrint raised FE_OVERFLOW\n");
if (fetestexcept(FE_UNDERFLOW)) printf ("lrint raised FE_UNDERFLOW\n");
printf("%Lf\n", y);
return 0;
}